2640953548800 has 2646 divisors, whose sum is σ = 12055219389513. Its totient is φ = 571875655680.

The previous prime is 2640953548799. The next prime is 2640953548861. The reversal of 2640953548800 is 88453590462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2640953548800 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 95 + 3 + 548 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2588134477824 + 52819070976 = 1608768^2 + 229824^2 .

It is a tau number, because it is divible by the number of its divisors (2646).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1149120.

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 188 ways as a sum of consecutive naturals, for example, 138997555191 + ... + 138997555209.

Almost surely, 2^{2640953548800} is an apocalyptic number.

2640953548800 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 2640953548800

2640953548800 is an abundant number, since it is smaller than the sum of its proper divisors (9414265840713).

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

2640953548800 is an frugal number, since it uses more digits than its factorization.

2640953548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2640953548800 in words is "two trillion, six hundred forty billion, nine hundred fifty-three million, five hundred forty-eight thousand, eight hundred".