2860901616400 has 135 divisors (see below), whose sum is σ = 7187103612031. Its totient is φ = 1094308145920.

The previous prime is 2860901616389. The next prime is 2860901616407. The reversal of 2860901616400 is 46161090682.

The square root of 2860901616400 is 1691420.

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 89236028176 + 2771665588224 = 298724^2 + 1664832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2860901616407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 778051362 + ... + 778055038.

Almost surely, 2^{2860901616400} is an apocalyptic number.

2860901616400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2860901616400 is the 1691420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2860901616400

2860901616400 is an abundant number, since it is smaller than the sum of its proper divisors (4326201995631).

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

2860901616400 is an frugal number, since it uses more digits than its factorization.

2860901616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 2860901616400 in words is "two trillion, eight hundred sixty billion, nine hundred one million, six hundred sixteen thousand, four hundred".