2378512900 has 27 divisors (see below), whose sum is σ = 5162431519. Its totient is φ = 951210080.

The previous prime is 2378512889. The next prime is 2378512949. The reversal of 2378512900 is 92158732.

The square root of 2378512900 is 48770.

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 316626436 + 2061886464 = 17794^2 + 45408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2378512900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 485262 + ... + 490138.

Almost surely, 2^2378512900 is an apocalyptic number.

2378512900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2378512900 is the 48770-th square number.

It is an amenable number.

2378512900 is an abundant number, since it is smaller than the sum of its proper divisors (2783918619).

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

2378512900 is an frugal number, since it uses more digits than its factorization.

2378512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 2378512900 is about 1334.8583128021.

The spelling of 2378512900 in words is "two billion, three hundred seventy-eight million, five hundred twelve thousand, nine hundred".