2627266561920 has 2048 divisors, whose sum is σ = 12685355827200. Its totient is φ = 496190914560.

The previous prime is 2627266561901. The next prime is 2627266561951. The reversal of 2627266561920 is 291656627262.

2627266561920 is a `hidden beast` number, since 2 + 6 + 2 + 72 + 6 + 6 + 561 + 9 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1158916627 + ... + 1158918893.

It is an arithmetic number, because the mean of its divisors is an integer number (6194021400).

Almost surely, 2^{2627266561920} is an apocalyptic number.

2627266561920 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 2627266561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342677913600).

2627266561920 is an abundant number, since it is smaller than the sum of its proper divisors (10058089265280).

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

2627266561920 is a wasteful number, since it uses less digits than its factorization.

2627266561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2627266561920 in words is "two trillion, six hundred twenty-seven billion, two hundred sixty-six million, five hundred sixty-one thousand, nine hundred twenty".