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2404980000 = 25325431431
BaseRepresentation
bin1000111101011001…
…0001010100100000
320012121101122100100
42033112101110200
514411133330000
61034351022400
7113411664333
oct21726212440
96177348310
102404980000
111024604085
1257150aa00
132c43405b7
1418b59861a
15e120ba00
hex8f591520

2404980000 has 360 divisors, whose sum is σ = 8842369536. Its totient is φ = 619200000.

The previous prime is 2404979999. The next prime is 2404980013. The reversal of 2404980000 is 894042.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5579785 + ... + 5580215.

Almost surely, 22404980000 is an apocalyptic number.

2404980000 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 2404980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421184768).

2404980000 is an abundant number, since it is smaller than the sum of its proper divisors (6437389536).

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

2404980000 is a wasteful number, since it uses less digits than its factorization.

2404980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2404980000 is about 49040.5954286854. The cubic root of 2404980000 is about 1339.7913092988.

The spelling of 2404980000 in words is "two billion, four hundred four million, nine hundred eighty thousand".