2402395200 has 504 divisors, whose sum is σ = 9148706112. Its totient is φ = 619591680.

The previous prime is 2402395199. The next prime is 2402395201. The reversal of 2402395200 is 25932042.

It is an interprime number because it is at equal distance from previous prime (2402395199) and next prime (2402395201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2402395201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14385517 + ... + 14385683.

Almost surely, 2^2402395200 is an apocalyptic number.

2402395200 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 2402395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574353056).

2402395200 is an abundant number, since it is smaller than the sum of its proper divisors (6746310912).

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

2402395200 is a wasteful number, since it uses less digits than its factorization.

2402395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2402395200 is about 49014.2346670842. The cubic root of 2402395200 is about 1339.3111481341.

The spelling of 2402395200 in words is "two billion, four hundred two million, three hundred ninety-five thousand, two hundred".