2264862720 has 208 divisors, whose sum is σ = 7322360832. Its totient is φ = 597688320.

The previous prime is 2264862709. The next prime is 2264862731. The reversal of 2264862720 is 272684622.

It is an interprime number because it is at equal distance from previous prime (2264862709) and next prime (2264862731).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11734944 + ... + 11735136.

Almost surely, 2^2264862720 is an apocalyptic number.

2264862720 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 2264862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661180416).

2264862720 is an abundant number, since it is smaller than the sum of its proper divisors (5057498112).

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

2264862720 is a wasteful number, since it uses less digits than its factorization.

2264862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2264862720 is about 47590.5738565948. The cubic root of 2264862720 is about 1313.2496521074.

The spelling of 2264862720 in words is "two billion, two hundred sixty-four million, eight hundred sixty-two thousand, seven hundred twenty".