2401996800 has 312 divisors, whose sum is σ = 9084277696. Its totient is φ = 548536320.

The previous prime is 2401996799. The next prime is 2401996837. The reversal of 2401996800 is 86991042.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2149842 + ... + 2150958.

Almost surely, 2^2401996800 is an apocalyptic number.

2401996800 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 2401996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542138848).

2401996800 is an abundant number, since it is smaller than the sum of its proper divisors (6682280896).

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

2401996800 is a wasteful number, since it uses less digits than its factorization.

2401996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2401996800 is about 49010.1703730971. The cubic root of 2401996800 is about 1339.2371093777.

The spelling of 2401996800 in words is "two billion, four hundred one million, nine hundred ninety-six thousand, eight hundred".