2397139200 has 162 divisors, whose sum is σ = 8570519594. Its totient is φ = 639221760.

The previous prime is 2397139193. The next prime is 2397139207. The reversal of 2397139200 is 29317932.

It is an interprime number because it is at equal distance from previous prime (2397139193) and next prime (2397139207).

It can be written as a sum of positive squares in 3 ways, for example, as 851705856 + 1545433344 = 29184^2 + 39312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2397139207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36792 + ... + 78408.

Almost surely, 2^2397139200 is an apocalyptic number.

2397139200 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 2397139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285259797).

2397139200 is an abundant number, since it is smaller than the sum of its proper divisors (6173380394).

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

2397139200 is a wasteful number, since it uses less digits than its factorization.

2397139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41649 (or 41627 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2397139200 is about 48960.5882317605. The cubic root of 2397139200 is about 1338.3337126014. Note that the first 3 decimals are identical.

The spelling of 2397139200 in words is "two billion, three hundred ninety-seven million, one hundred thirty-nine thousand, two hundred".