2630643840 has 192 divisors, whose sum is σ = 9909993600. Its totient is φ = 637716480.

The previous prime is 2630643833. The next prime is 2630643857. The reversal of 2630643840 is 483460362.

It is a happy number.

2630643840 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 643 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2630643795 and 2630643804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42601 + ... + 84119.

It is an arithmetic number, because the mean of its divisors is an integer number (51614550).

Almost surely, 2^2630643840 is an apocalyptic number.

2630643840 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 2630643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954996800).

2630643840 is an abundant number, since it is smaller than the sum of its proper divisors (7279349760).

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

2630643840 is a wasteful number, since it uses less digits than its factorization.

2630643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41555 (or 41540 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2630643840 is about 51289.8024952329. The cubic root of 2630643840 is about 1380.4500107678.

The spelling of 2630643840 in words is "two billion, six hundred thirty million, six hundred forty-three thousand, eight hundred forty".