2622456212040 has 1152 divisors, whose sum is σ = 11181537768960. Its totient is φ = 519907590144.

The previous prime is 2622456212029. The next prime is 2622456212041. The reversal of 2622456212040 is 402126542262.

2622456212040 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 4 + 5 + 621 + 20 + 4 + 0 = 666.

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 = 2622456211986 and 2622456212004.

It is not an unprimeable number, because it can be changed into a prime (2622456212041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 572211589 + ... + 572216171.

It is an arithmetic number, because the mean of its divisors is an integer number (9706195980).

Almost surely, 2^{2622456212040} is an apocalyptic number.

2622456212040 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 2622456212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590768884480).

2622456212040 is an abundant number, since it is smaller than the sum of its proper divisors (8559081556920).

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

2622456212040 is a wasteful number, since it uses less digits than its factorization.

2622456212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2622456212040 in words is "two trillion, six hundred twenty-two billion, four hundred fifty-six million, two hundred twelve thousand, forty".