1902661596900 has 81 divisors (see below), whose sum is σ = 5963916781641. Its totient is φ = 507365390880.

The previous prime is 1902661596839. The next prime is 1902661596947. The reversal of 1902661596900 is 96951662091.

The square root of 1902661596900 is 1379370.

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

1902661596900 is a `hidden beast` number, since 19 + 0 + 2 + 6 + 615 + 9 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 684958174884 + 1217703422016 = 827622^2 + 1103496^2 .

It is a super-2 number, since 2×1902661596900² (a number of 25 digits) contains 22 as substring.

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, 41358111 + ... + 41404089.

Almost surely, 2^{1902661596900} is an apocalyptic number.

1902661596900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1902661596900 is the 1379370-th square number.

It is an amenable number.

1902661596900 is an abundant number, since it is smaller than the sum of its proper divisors (4061255184741).

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

1902661596900 is an frugal number, since it uses more digits than its factorization.

1902661596900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91978 (or 45989 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

It can be divided in two parts, 1902661 and 596900, that added together give a square (2499561 = 1581²).

The spelling of 1902661596900 in words is "one trillion, nine hundred two billion, six hundred sixty-one million, five hundred ninety-six thousand, nine hundred".