2185287742880 has 432 divisors, whose sum is σ = 5958422195040. Its totient is φ = 756748016640.

The previous prime is 2185287742871. The next prime is 2185287742943. The reversal of 2185287742880 is 882477825812.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3881505479 + ... + 3881506041.

It is an arithmetic number, because the mean of its divisors is an integer number (13792643970).

Almost surely, 2^{2185287742880} is an apocalyptic number.

2185287742880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185287742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979211097520).

2185287742880 is an abundant number, since it is smaller than the sum of its proper divisors (3773134452160).

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

2185287742880 is a wasteful number, since it uses less digits than its factorization.

2185287742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 62.

The spelling of 2185287742880 in words is "two trillion, one hundred eighty-five billion, two hundred eighty-seven million, seven hundred forty-two thousand, eight hundred eighty".