2277310464 has 408 divisors, whose sum is σ = 8015253792. Its totient is φ = 637009920.

The previous prime is 2277310459. The next prime is 2277310471. The reversal of 2277310464 is 4640137722.

It is a super-2 number, since 2×2277310464² = 10372285898887790592, which contains 22 as substring.

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

It is a congruent number.

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, 175177722 + ... + 175177734.

Almost surely, 2^2277310464 is an apocalyptic number.

2277310464 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 2277310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007626896).

2277310464 is an abundant number, since it is smaller than the sum of its proper divisors (5737943328).

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

2277310464 is an frugal number, since it uses more digits than its factorization.

2277310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2277310464 is about 47721.1741682872. The cubic root of 2277310464 is about 1315.6511425825.

The spelling of 2277310464 in words is "two billion, two hundred seventy-seven million, three hundred ten thousand, four hundred sixty-four".