2807684640 has 192 divisors, whose sum is σ = 10405221120. Its totient is φ = 704655360.

The previous prime is 2807684567. The next prime is 2807684669. The reversal of 2807684640 is 464867082.

2807684640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 54325 + ... + 92555.

It is an arithmetic number, because the mean of its divisors is an integer number (54193860).

Almost surely, 2^2807684640 is an apocalyptic number.

2807684640 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 2807684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202610560).

2807684640 is an abundant number, since it is smaller than the sum of its proper divisors (7597536480).

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

2807684640 is a wasteful number, since it uses less digits than its factorization.

2807684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38272 (or 38258 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2807684640 is about 52987.5894903703. The cubic root of 2807684640 is about 1410.7479960606.

The spelling of 2807684640 in words is "two billion, eight hundred seven million, six hundred eighty-four thousand, six hundred forty".