2364876900 has 81 divisors (see below), whose sum is σ = 7417150923. Its totient is φ = 630244800.

The previous prime is 2364876889. The next prime is 2364876911. The reversal of 2364876900 is 96784632.

The square root of 2364876900 is 48630.

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

It is an interprime number because it is at equal distance from previous prime (2364876889) and next prime (2364876911).

It can be written as a sum of positive squares in 4 ways, for example, as 47032164 + 2317844736 = 6858^2 + 48144^2 .

It is a super-2 number, since 2×2364876900² = 11185285504307220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1458090 + ... + 1459710.

Almost surely, 2^2364876900 is an apocalyptic number.

2364876900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2364876900 is the 48630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364876900

2364876900 is an abundant number, since it is smaller than the sum of its proper divisors (5052274023).

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

2364876900 is a wasteful number, since it uses less digits than its factorization.

2364876900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 2364876900 is about 1332.3025108981.

The spelling of 2364876900 in words is "two billion, three hundred sixty-four million, eight hundred seventy-six thousand, nine hundred".