2791525040640 has 2560 divisors, whose sum is σ = 12718328832000. Its totient is φ = 565855911936.

The previous prime is 2791525040599. The next prime is 2791525040657. The reversal of 2791525040640 is 460405251972.

2791525040640 is a `hidden beast` number, since 2 + 7 + 9 + 152 + 50 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×2791525040640² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9864045939 + ... + 9864046221.

It is an arithmetic number, because the mean of its divisors is an integer number (4968097200).

Almost surely, 2^{2791525040640} is an apocalyptic number.

2791525040640 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 2791525040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359164416000).

2791525040640 is an abundant number, since it is smaller than the sum of its proper divisors (9926803791360).

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

2791525040640 is a wasteful number, since it uses less digits than its factorization.

2791525040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2791525040640 in words is "two trillion, seven hundred ninety-one billion, five hundred twenty-five million, forty thousand, six hundred forty".