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2498821920 = 25335782633
BaseRepresentation
bin1001010011110000…
…1111111100100000
320110010222022021000
42110330033330200
520104144300140
61051542232000
7115631431050
oct22474177440
96403868230
102498821920
111072579991
12598a25600
1330a90916a
14199c25560
15e9596a30
hex94f0ff20

2498821920 has 192 divisors, whose sum is σ = 9995408640. Its totient is φ = 571152384.

The previous prime is 2498821909. The next prime is 2498821931. The reversal of 2498821920 is 291288942.

It is a happy number.

2498821920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2498821909) and next prime (2498821931).

It is a super-2 number, since 2×24988219202 = 12488221975744972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11077 + ... + 71556.

It is an arithmetic number, because the mean of its divisors is an integer number (52059420).

Almost surely, 22498821920 is an apocalyptic number.

2498821920 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 2498821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997704320).

2498821920 is an abundant number, since it is smaller than the sum of its proper divisors (7496586720).

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

2498821920 is a wasteful number, since it uses less digits than its factorization.

2498821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82664 (or 82650 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2498821920 is about 49988.2178118004. The cubic root of 2498821920 is about 1356.9955880615.

The spelling of 2498821920 in words is "two billion, four hundred ninety-eight million, eight hundred twenty-one thousand, nine hundred twenty".