2674582536960 has 288 divisors, whose sum is σ = 9646651949760. Its totient is φ = 701529292800.

The previous prime is 2674582536953. The next prime is 2674582537037. The reversal of 2674582536960 is 696352854762.

2674582536960 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 5 + 8 + 2 + 536 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2674582536960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473820 + ... + 2742500.

It is an arithmetic number, because the mean of its divisors is an integer number (33495319270).

Almost surely, 2^{2674582536960} is an apocalyptic number.

2674582536960 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 2674582536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823325974880).

2674582536960 is an abundant number, since it is smaller than the sum of its proper divisors (6972069412800).

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

2674582536960 is a wasteful number, since it uses less digits than its factorization.

2674582536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268772 (or 1268752 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2674582536960 in words is "two trillion, six hundred seventy-four billion, five hundred eighty-two million, five hundred thirty-six thousand, nine hundred sixty".