2622651242112 has 768 divisors, whose sum is σ = 8785237968000. Its totient is φ = 743549829120.

The previous prime is 2622651242011. The next prime is 2622651242201. The reversal of 2622651242112 is 2112421562262.

2622651242112 is a `hidden beast` number, since 2 + 6 + 2 + 26 + 512 + 4 + 2 + 112 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1582769988 + ... + 1582771644.

Almost surely, 2^{2622651242112} is an apocalyptic number.

2622651242112 is a gapful number since it is divisible by the number (22) 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 2622651242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392618984000).

2622651242112 is an abundant number, since it is smaller than the sum of its proper divisors (6162586725888).

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

2622651242112 is a wasteful number, since it uses less digits than its factorization.

2622651242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1834 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 2622651242112 in words is "two trillion, six hundred twenty-two billion, six hundred fifty-one million, two hundred forty-two thousand, one hundred twelve".