2695738890240 has 1536 divisors, whose sum is σ = 10955027865600. Its totient is φ = 630639820800.

The previous prime is 2695738890223. The next prime is 2695738890241. The reversal of 2695738890240 is 420988375962.

2695738890240 is a `hidden beast` number, since 2 + 6 + 9 + 5 + 7 + 388 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2695738890241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7636653904 + ... + 7636654256.

It is an arithmetic number, because the mean of its divisors is an integer number (7132179600).

Almost surely, 2^{2695738890240} is an apocalyptic number.

2695738890240 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 2695738890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477513932800).

2695738890240 is an abundant number, since it is smaller than the sum of its proper divisors (8259288975360).

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

2695738890240 is an equidigital number, since it uses as much as digits as its factorization.

2695738890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2695738890240 in words is "two trillion, six hundred ninety-five billion, seven hundred thirty-eight million, eight hundred ninety thousand, two hundred forty".