2696136960 has 576 divisors, whose sum is σ = 10172252160. Its totient is φ = 602112000.

The previous prime is 2696136953. The next prime is 2696136997. The reversal of 2696136960 is 696316962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37973725 + ... + 37973795.

It is an arithmetic number, because the mean of its divisors is an integer number (17660160).

Almost surely, 2^2696136960 is an apocalyptic number.

2696136960 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 2696136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086126080).

2696136960 is an abundant number, since it is smaller than the sum of its proper divisors (7476115200).

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

2696136960 is a wasteful number, since it uses less digits than its factorization.

2696136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 2696136960 is about 51924.3388017604. The cubic root of 2696136960 is about 1391.8122352102.

It can be divided in two parts, 2696 and 136960, that added together give a triangular number (139656 = T₅₂₈).

The spelling of 2696136960 in words is "two billion, six hundred ninety-six million, one hundred thirty-six thousand, nine hundred sixty".