2263620624 has 120 divisors (see below), whose sum is σ = 6155022720. Its totient is φ = 716787456.

The previous prime is 2263620617. The next prime is 2263620637. The reversal of 2263620624 is 4260263622.

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, 6068502 + ... + 6068874.

It is an arithmetic number, because the mean of its divisors is an integer number (51291856).

Almost surely, 2^2263620624 is an apocalyptic number.

2263620624 is a gapful number since it is divisible by the number (24) 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 2263620624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077511360).

2263620624 is an abundant number, since it is smaller than the sum of its proper divisors (3891402096).

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

2263620624 is a wasteful number, since it uses less digits than its factorization.

2263620624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2263620624 is about 47577.5222557880. The cubic root of 2263620624 is about 1313.0095374185.

The spelling of 2263620624 in words is "two billion, two hundred sixty-three million, six hundred twenty thousand, six hundred twenty-four".