2692784640 has 320 divisors, whose sum is σ = 10597821696. Its totient is φ = 568000512.

The previous prime is 2692784609. The next prime is 2692784669. The reversal of 2692784640 is 464872962.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2692784640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696954 + ... + 700806.

Almost surely, 2^2692784640 is an apocalyptic number.

2692784640 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 2692784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298910848).

2692784640 is an abundant number, since it is smaller than the sum of its proper divisors (7905037056).

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

2692784640 is a wasteful number, since it uses less digits than its factorization.

2692784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2692784640 is about 51892.0479457113. The cubic root of 2692784640 is about 1391.2351459421.

The spelling of 2692784640 in words is "two billion, six hundred ninety-two million, seven hundred eighty-four thousand, six hundred forty".