2612275660800 has 1728 divisors, whose sum is σ = 10806013370880. Its totient is φ = 621084672000.

The previous prime is 2612275660781. The next prime is 2612275660801. The reversal of 2612275660800 is 80665722162.

2612275660800 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 2 + 7 + 566 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612275660801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5013964540 + ... + 5013965060.

It is an arithmetic number, because the mean of its divisors is an integer number (6253479960).

Almost surely, 2^{2612275660800} is an apocalyptic number.

2612275660800 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 2612275660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403006685440).

2612275660800 is an abundant number, since it is smaller than the sum of its proper divisors (8193737710080).

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

2612275660800 is a wasteful number, since it uses less digits than its factorization.

2612275660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2612275660800 in words is "two trillion, six hundred twelve billion, two hundred seventy-five million, six hundred sixty thousand, eight hundred".