2764081152 has 384 divisors, whose sum is σ = 9660268800. Its totient is φ = 764411904.

The previous prime is 2764081129. The next prime is 2764081157. The reversal of 2764081152 is 2511804672.

2764081152 is a `hidden beast` number, since 2 + 7 + 640 + 8 + 1 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2764081152² = 15280289229683294208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2764081157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14321568 + ... + 14321760.

It is an arithmetic number, because the mean of its divisors is an integer number (25156950).

Almost surely, 2^2764081152 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 2764081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830134400).

2764081152 is an abundant number, since it is smaller than the sum of its proper divisors (6896187648).

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

2764081152 is a wasteful number, since it uses less digits than its factorization.

2764081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2764081152 is about 52574.5294986080. The cubic root of 2764081152 is about 1403.4068646607.

The spelling of 2764081152 in words is "two billion, seven hundred sixty-four million, eighty-one thousand, one hundred fifty-two".