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2420521540 = 2251729317919
BaseRepresentation
bin1001000001000110…
…0011101001000100
320020200122020022221
42100101203221010
514424123142130
61040104102124
7113661044053
oct22021435104
96220566287
102420521540
111032359728
12576764944
132c7622588
1418d68239a
15e277b87a
hex90463a44

2420521540 has 96 divisors (see below), whose sum is σ = 5748019200. Its totient is φ = 851343360.

The previous prime is 2420521531. The next prime is 2420521553. The reversal of 2420521540 is 451250242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301701 + ... + 309619.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 22420521540 is an apocalyptic number.

2420521540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420521540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874009600).

2420521540 is an abundant number, since it is smaller than the sum of its proper divisors (3327497660).

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

2420521540 is a wasteful number, since it uses less digits than its factorization.

2420521540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2420521540 is about 49198.7961234825. The cubic root of 2420521540 is about 1342.6711291526.

Adding to 2420521540 its reverse (451250242), we get a palindrome (2871771782).

The spelling of 2420521540 in words is "two billion, four hundred twenty million, five hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 29 31 34 58 62 68 85 116 124 145 155 170 290 310 340 493 527 580 620 899 986 1054 1798 1972 2108 2465 2635 3596 4495 4930 5270 7919 8990 9860 10540 15283 15838 17980 30566 31676 39595 61132 76415 79190 134623 152830 158380 229651 245489 269246 305660 459302 490978 538492 673115 918604 981956 1148255 1227445 1346230 2296510 2454890 2692460 3904067 4173313 4593020 4909780 7119181 7808134 8346626 14238362 15616268 16693252 19520335 20866565 28476724 35595905 39040670 41733130 71191810 78081340 83466260 121026077 142383620 242052154 484104308 605130385 1210260770 2420521540