2696320640 has 192 divisors, whose sum is σ = 7079267160. Its totient is φ = 981467136.

The previous prime is 2696320579. The next prime is 2696320643. The reversal of 2696320640 is 460236962.

It can be written as a sum of positive squares in 12 ways, for example, as 147282496 + 2549038144 = 12136^2 + 50488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2696320594 and 2696320603.

It is not an unprimeable number, because it can be changed into a prime (2696320643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10491392 + ... + 10491648.

Almost surely, 2^2696320640 is an apocalyptic number.

2696320640 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 2696320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539633580).

2696320640 is an abundant number, since it is smaller than the sum of its proper divisors (4382946520).

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

2696320640 is a wasteful number, since it uses less digits than its factorization.

2696320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 2696320640 is about 51926.1074990221. The cubic root of 2696320640 is about 1391.8438412043.

The spelling of 2696320640 in words is "two billion, six hundred ninety-six million, three hundred twenty thousand, six hundred forty".