2152774302768 has 800 divisors, whose sum is σ = 6896558592000. Its totient is φ = 645913128960.

The previous prime is 2152774302739. The next prime is 2152774302817. The reversal of 2152774302768 is 8672034772512.

It is a happy number.

2152774302768 is a `hidden beast` number, since 2 + 1 + 5 + 277 + 4 + 302 + 7 + 68 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11271069553 + ... + 11271069743.

It is an arithmetic number, because the mean of its divisors is an integer number (8620698240).

Almost surely, 2^{2152774302768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152774302768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296000).

2152774302768 is an abundant number, since it is smaller than the sum of its proper divisors (4743784289232).

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

2152774302768 is a wasteful number, since it uses less digits than its factorization.

2152774302768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

It can be divided in two parts, 2152774 and 302768, that added together give a palindrome (2455542).

The spelling of 2152774302768 in words is "two trillion, one hundred fifty-two billion, seven hundred seventy-four million, three hundred two thousand, seven hundred sixty-eight".