2497996800 has 576 divisors, whose sum is σ = 9952488000. Its totient is φ = 610467840.

The previous prime is 2497996789. The next prime is 2497996829. The reversal of 2497996800 is 86997942.

2497996800 is a `hidden beast` number, since 2 + 497 + 99 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17971131 + ... + 17971269.

It is an arithmetic number, because the mean of its divisors is an integer number (17278625).

Almost surely, 2^2497996800 is an apocalyptic number.

2497996800 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 2497996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976244000).

2497996800 is an abundant number, since it is smaller than the sum of its proper divisors (7454491200).

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

2497996800 is a wasteful number, since it uses less digits than its factorization.

2497996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2497996800 is about 49979.9639855813. The cubic root of 2497996800 is about 1356.8462100080.

The spelling of 2497996800 in words is "two billion, four hundred ninety-seven million, nine hundred ninety-six thousand, eight hundred".