2783112640 has 112 divisors (see below), whose sum is σ = 8262664704. Its totient is φ = 867456000.

The previous prime is 2783112623. The next prime is 2783112641. The reversal of 2783112640 is 462113872.

2783112640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2783112596 and 2783112605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783112641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31836 + ... + 81115.

It is an arithmetic number, because the mean of its divisors is an integer number (73773792).

Almost surely, 2^2783112640 is an apocalyptic number.

2783112640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2783112640 is an abundant number, since it is smaller than the sum of its proper divisors (5479552064).

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

2783112640 is a wasteful number, since it uses less digits than its factorization.

2783112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112986 (or 112976 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2783112640 is about 52755.2143394376. The cubic root of 2783112640 is about 1406.6204527493.

The spelling of 2783112640 in words is "two billion, seven hundred eighty-three million, one hundred twelve thousand, six hundred forty".