2400971328 has 448 divisors, whose sum is σ = 8791244800. Its totient is φ = 627056640.

The previous prime is 2400971323. The next prime is 2400971333. The reversal of 2400971328 is 8231790042.

2400971328 is a `hidden beast` number, since 240 + 0 + 97 + 1 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2400971323) and next prime (2400971333).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2400971292 and 2400971301.

It is not an unprimeable number, because it can be changed into a prime (2400971323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7124376 + ... + 7124712.

Almost surely, 2^2400971328 is an apocalyptic number.

2400971328 is a gapful number since it is divisible by the number (28) 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 2400971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395622400).

2400971328 is an abundant number, since it is smaller than the sum of its proper divisors (6390273472).

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

2400971328 is a wasteful number, since it uses less digits than its factorization.

2400971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2400971328 is about 48999.7074276980. The cubic root of 2400971328 is about 1339.0464977384.

The spelling of 2400971328 in words is "two billion, four hundred million, nine hundred seventy-one thousand, three hundred twenty-eight".