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2421025440 = 253537136319
BaseRepresentation
bin1001000001001101…
…1110101010100000
320020201120211112220
42100103132222200
514424240303230
61040122551040
7113665243131
oct22023365240
96221524486
102421025440
111032673279
12576968480
132c776aa42
1418d773c88
15e282ad10
hex904deaa0

2421025440 has 96 divisors (see below), whose sum is σ = 7832401920. Its totient is φ = 628153344.

The previous prime is 2421025433. The next prime is 2421025447. The reversal of 2421025440 is 445201242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2421025433) and next prime (2421025447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24210254402 = 11722728362254387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2421025440.

It is not an unprimeable number, because it can be changed into a prime (2421025447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50400 + ... + 85919.

It is an arithmetic number, because the mean of its divisors is an integer number (81587520).

Almost surely, 22421025440 is an apocalyptic number.

2421025440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421025440 is an abundant number, since it is smaller than the sum of its proper divisors (5411376480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2421025440 is a wasteful number, since it uses less digits than its factorization.

2421025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136374 (or 136366 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2421025440 is about 49203.9169172537. The cubic root of 2421025440 is about 1342.7642943413.

Adding to 2421025440 its reverse (445201242), we get a palindrome (2866226682).

The spelling of 2421025440 in words is "two billion, four hundred twenty-one million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 136319 272638 408957 545276 681595 817914 1090552 1363190 1635828 2044785 2181104 2726380 3271656 4089570 4362208 5043803 5452760 6543312 8179140 10087606 10905520 13086624 15131409 16358280 20175212 21811040 25219015 30262818 32716560 40350424 50438030 60525636 65433120 75657045 80700848 100876060 121051272 151314090 161401696 201752120 242102544 302628180 403504240 484205088 605256360 807008480 1210512720 2421025440