2400938496 has 400 divisors, whose sum is σ = 8258801760. Its totient is φ = 686776320.

The previous prime is 2400938483. The next prime is 2400938539. The reversal of 2400938496 is 6948390042.

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 39 ways as a sum of consecutive naturals, for example, 8667510 + ... + 8667786.

Almost surely, 2^2400938496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129400880).

2400938496 is an abundant number, since it is smaller than the sum of its proper divisors (5857863264).

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

2400938496 is a wasteful number, since it uses less digits than its factorization.

2400938496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2400938496 is about 48999.3724041441. The cubic root of 2400938496 is about 1339.0403941288.

The spelling of 2400938496 in words is "two billion, four hundred million, nine hundred thirty-eight thousand, four hundred ninety-six".