2722567256640 has 1512 divisors, whose sum is σ = 12223472404416. Its totient is φ = 565358745600.

The previous prime is 2722567256639. The next prime is 2722567256653. The reversal of 2722567256640 is 466527652272.

2722567256640 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 5 + 6 + 72 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1778292675 + ... + 1778294205.

Almost surely, 2^{2722567256640} is an apocalyptic number.

2722567256640 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 2722567256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111736202208).

2722567256640 is an abundant number, since it is smaller than the sum of its proper divisors (9500905147776).

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

2722567256640 is an equidigital number, since it uses as much as digits as its factorization.

2722567256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 2722567256640 in words is "two trillion, seven hundred twenty-two billion, five hundred sixty-seven million, two hundred fifty-six thousand, six hundred forty".