2637790040 has 64 divisors (see below), whose sum is σ = 6304858560. Its totient is φ = 989777920.

The previous prime is 2637790021. The next prime is 2637790087. The reversal of 2637790040 is 400977362.

It is a junction number, because it is equal to n+sod(n) for n = 2637789976 and 2637790003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205244 + ... + 217716.

It is an arithmetic number, because the mean of its divisors is an integer number (98513415).

Almost surely, 2^2637790040 is an apocalyptic number.

2637790040 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 2637790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152429280).

2637790040 is an abundant number, since it is smaller than the sum of its proper divisors (3667068520).

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

2637790040 is a wasteful number, since it uses less digits than its factorization.

2637790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 2637790040 is about 51359.4201680665. The cubic root of 2637790040 is about 1381.6988878642.

The spelling of 2637790040 in words is "two billion, six hundred thirty-seven million, seven hundred ninety thousand, forty".