2696144640 has 576 divisors, whose sum is σ = 10596096000. Its totient is φ = 582844416.

The previous prime is 2696144639. The next prime is 2696144657. The reversal of 2696144640 is 464416962.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2696144592 and 2696144601.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 30293716 + ... + 30293804.

It is an arithmetic number, because the mean of its divisors is an integer number (18396000).

Almost surely, 2^2696144640 is an apocalyptic number.

2696144640 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 2696144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048000).

2696144640 is an abundant number, since it is smaller than the sum of its proper divisors (7899951360).

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

2696144640 is an equidigital number, since it uses as much as digits as its factorization.

2696144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2696144640 is about 51924.4127554660. The cubic root of 2696144640 is about 1391.8135567440.

The spelling of 2696144640 in words is "two billion, six hundred ninety-six million, one hundred forty-four thousand, six hundred forty".