2630291040 has 576 divisors, whose sum is σ = 10401955200. Its totient is φ = 600145920.

The previous prime is 2630291029. The next prime is 2630291047. The reversal of 2630291040 is 401920362.

2630291040 is a `hidden beast` number, since 2 + 630 + 29 + 1 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2630290995 and 2630291013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630291047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17652886 + ... + 17653034.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2^2630291040 is an apocalyptic number.

2630291040 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 2630291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200977600).

2630291040 is an abundant number, since it is smaller than the sum of its proper divisors (7771664160).

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

2630291040 is a wasteful number, since it uses less digits than its factorization.

2630291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2630291040 is about 51286.3630997559. The cubic root of 2630291040 is about 1380.3882965302.

The spelling of 2630291040 in words is "two billion, six hundred thirty million, two hundred ninety-one thousand, forty".