2630465640 has 192 divisors, whose sum is σ = 9817329600. Its totient is φ = 604108800.

The previous prime is 2630465639. The next prime is 2630465657. The reversal of 2630465640 is 465640362.

2630465640 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 4 + 6 + 5 + 640 = 666.

It is a super-3 number, since 3×2630465640³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2630465595 and 2630465604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57760 + ... + 92720.

It is an arithmetic number, because the mean of its divisors is an integer number (51131925).

Almost surely, 2^2630465640 is an apocalyptic number.

2630465640 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 2630465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908664800).

2630465640 is an abundant number, since it is smaller than the sum of its proper divisors (7186863960).

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

2630465640 is a wasteful number, since it uses less digits than its factorization.

2630465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35008 (or 35001 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2630465640 is about 51288.0652783862. The cubic root of 2630465640 is about 1380.4188394701.

The spelling of 2630465640 in words is "two billion, six hundred thirty million, four hundred sixty-five thousand, six hundred forty".