2265432624 has 480 divisors, whose sum is σ = 8543342080. Its totient is φ = 564350976.

The previous prime is 2265432619. The next prime is 2265432629. The reversal of 2265432624 is 4262345622.

2265432624 is a `hidden beast` number, since 2 + 26 + 5 + 4 + 3 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2265432619) and next prime (2265432629).

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

It is not an unprimeable number, because it can be changed into a prime (2265432629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6722184 + ... + 6722520.

Almost surely, 2^2265432624 is an apocalyptic number.

2265432624 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 2265432624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271671040).

2265432624 is an abundant number, since it is smaller than the sum of its proper divisors (6277909456).

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

2265432624 is a wasteful number, since it uses less digits than its factorization.

2265432624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2265432624 is about 47596.5610522441. The cubic root of 2265432624 is about 1313.3597932146.

It can be divided in two parts, 22654 and 32624, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 2265432624 in words is "two billion, two hundred sixty-five million, four hundred thirty-two thousand, six hundred twenty-four".