2787464640 has 112 divisors (see below), whose sum is σ = 8895283200. Its totient is φ = 739537920.

The previous prime is 2787464629. The next prime is 2787464651. The reversal of 2787464640 is 464647872.

It is an interprime number because it is at equal distance from previous prime (2787464629) and next prime (2787464651).

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 2787464640.

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 15 ways as a sum of consecutive naturals, for example, 183745 + ... + 198335.

Almost surely, 2^2787464640 is an apocalyptic number.

2787464640 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 2787464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447641600).

2787464640 is an abundant number, since it is smaller than the sum of its proper divisors (6107818560).

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

2787464640 is a wasteful number, since it uses less digits than its factorization.

2787464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The square root of 2787464640 is about 52796.4453348897. The cubic root of 2787464640 is about 1407.3532562620.

The spelling of 2787464640 in words is "two billion, seven hundred eighty-seven million, four hundred sixty-four thousand, six hundred forty".