2795232561408 has 1728 divisors, whose sum is σ = 10802398064640. Its totient is φ = 702375100416.

The previous prime is 2795232561347. The next prime is 2795232561439. The reversal of 2795232561408 is 8041652325972.

2795232561408 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 2 + 32 + 561 + 40 + 8 = 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7040887866 + ... + 7040888262.

It is a 1-persistent number, because it is pandigital, but 2⋅2795232561408 = 5590465122816 is not.

Almost surely, 2^{2795232561408} is an apocalyptic number.

2795232561408 is a gapful number since it is divisible by the number (28) 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 2795232561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401199032320).

2795232561408 is an abundant number, since it is smaller than the sum of its proper divisors (8007165503232).

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

2795232561408 is a wasteful number, since it uses less digits than its factorization.

2795232561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2795232561408 in words is "two trillion, seven hundred ninety-five billion, two hundred thirty-two million, five hundred sixty-one thousand, four hundred eight".