2202687728640 has 1056 divisors, whose sum is σ = 9137902325760. Its totient is φ = 479675547648.

The previous prime is 2202687728609. The next prime is 2202687728677. The reversal of 2202687728640 is 468277862022.

2202687728640 is a `hidden beast` number, since 220 + 26 + 87 + 7 + 286 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2722728556 + ... + 2722729364.

Almost surely, 2^{2202687728640} is an apocalyptic number.

2202687728640 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 2202687728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568951162880).

2202687728640 is an abundant number, since it is smaller than the sum of its proper divisors (6935214597120).

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

2202687728640 is a wasteful number, since it uses less digits than its factorization.

2202687728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2202687728640 in words is "two trillion, two hundred two billion, six hundred eighty-seven million, seven hundred twenty-eight thousand, six hundred forty".