2372277648400 has 135 divisors (see below), whose sum is σ = 6265521456439. Its totient is φ = 862523200000.

The previous prime is 2372277648383. The next prime is 2372277648413. The reversal of 2372277648400 is 48467722732.

The square root of 2372277648400 is 1540220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112619305744 + 2259658342656 = 335588^2 + 1503216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338844900 + ... + 338851900.

Almost surely, 2^{2372277648400} is an apocalyptic number.

2372277648400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2372277648400 is the 1540220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2372277648400

2372277648400 is an abundant number, since it is smaller than the sum of its proper divisors (3893243808039).

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

2372277648400 is an frugal number, since it uses more digits than its factorization.

2372277648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14042 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 52.

The spelling of 2372277648400 in words is "two trillion, three hundred seventy-two billion, two hundred seventy-seven million, six hundred forty-eight thousand, four hundred".