2087967200400 has 135 divisors (see below), whose sum is σ = 7246127057689. Its totient is φ = 556768133760.

The previous prime is 2087967200387. The next prime is 2087967200413. The reversal of 2087967200400 is 40027697802.

The square root of 2087967200400 is 1444980.

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 (2087967200387) and next prime (2087967200413).

It can be written as a sum of positive squares in only one way, i.e., 751668192144 + 1336299008256 = 866988^2 + 1155984^2 .

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

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, 86686759 + ... + 86710841.

Almost surely, 2^{2087967200400} is an apocalyptic number.

2087967200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2087967200400 is the 1444980-th square number.

It is an amenable number.

2087967200400 is an abundant number, since it is smaller than the sum of its proper divisors (5158159857289).

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

2087967200400 is an frugal number, since it uses more digits than its factorization.

2087967200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48190 (or 24093 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2087967200400 in words is "two trillion, eighty-seven billion, nine hundred sixty-seven million, two hundred thousand, four hundred".