2630216253600 has 2268 divisors, whose sum is σ = 11306408308398. Its totient is φ = 593576294400.

The previous prime is 2630216253589. The next prime is 2630216253611. The reversal of 2630216253600 is 63526120362.

2630216253600 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 21 + 6 + 25 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2630216253589) and next prime (2630216253611).

It can be written as a sum of positive squares in 3 ways, for example, as 1460781642384 + 1169434611216 = 1208628^2 + 1081404^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 84845685585 + ... + 84845685615.

Almost surely, 2^{2630216253600} is an apocalyptic number.

2630216253600 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 2630216253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653204154199).

2630216253600 is an abundant number, since it is smaller than the sum of its proper divisors (8676192054798).

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

2630216253600 is a wasteful number, since it uses less digits than its factorization.

2630216253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2630216253600 in words is "two trillion, six hundred thirty billion, two hundred sixteen million, two hundred fifty-three thousand, six hundred".