2352742400 has 114 divisors (see below), whose sum is σ = 5851042920. Its totient is φ = 938475520.

The previous prime is 2352742397. The next prime is 2352742411. The reversal of 2352742400 is 42472532.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6553421 + ... + 6553779.

Almost surely, 2^2352742400 is an apocalyptic number.

2352742400 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 2352742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925521460).

2352742400 is an abundant number, since it is smaller than the sum of its proper divisors (3498300520).

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

2352742400 is an frugal number, since it uses more digits than its factorization.

2352742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 2352742400 is about 48505.0760230308. The cubic root of 2352742400 is about 1330.0198613877.

The spelling of 2352742400 in words is "two billion, three hundred fifty-two million, seven hundred forty-two thousand, four hundred".