2262013624 has 128 divisors (see below), whose sum is σ = 4882046400. Its totient is φ = 981227520.

The previous prime is 2262013613. The next prime is 2262013627. The reversal of 2262013624 is 4263102622.

2262013624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2262013624² = 10233411270323226752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2262013592 and 2262013601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262013627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30986452 + ... + 30986524.

Almost surely, 2^2262013624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262013624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441023200).

2262013624 is an abundant number, since it is smaller than the sum of its proper divisors (2620032776).

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

2262013624 is a wasteful number, since it uses less digits than its factorization.

2262013624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2262013624 is about 47560.6310302965. The cubic root of 2262013624 is about 1312.6987512652.

The spelling of 2262013624 in words is "two billion, two hundred sixty-two million, thirteen thousand, six hundred twenty-four".