2802032640 has 336 divisors, whose sum is σ = 10611465696. Its totient is φ = 678297600.

The previous prime is 2802032627. The next prime is 2802032659. The reversal of 2802032640 is 462302082.

2802032640 is a `hidden beast` number, since 280 + 20 + 326 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054695 + ... + 4055385.

Almost surely, 2^2802032640 is an apocalyptic number.

2802032640 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 2802032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305732848).

2802032640 is an abundant number, since it is smaller than the sum of its proper divisors (7809433056).

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

2802032640 is a wasteful number, since it uses less digits than its factorization.

2802032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2802032640 is about 52934.2293794856. The cubic root of 2802032640 is about 1409.8007263274.

The spelling of 2802032640 in words is "two billion, eight hundred two million, thirty-two thousand, six hundred forty".