2402928000 has 768 divisors, whose sum is σ = 9904265280. Its totient is φ = 552960000.

The previous prime is 2402927993. The next prime is 2402928001. The reversal of 2402928000 is 8292042.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402928001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58607980 + ... + 58608020.

Almost surely, 2^2402928000 is an apocalyptic number.

2402928000 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 2402928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952132640).

2402928000 is an abundant number, since it is smaller than the sum of its proper divisors (7501337280).

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

2402928000 is a wasteful number, since it uses less digits than its factorization.

2402928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

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

The square root of 2402928000 is about 49019.6695215298. The cubic root of 2402928000 is about 1339.4101510284.

The spelling of 2402928000 in words is "two billion, four hundred two million, nine hundred twenty-eight thousand".