2770464960 has 168 divisors, whose sum is σ = 9558497520. Its totient is φ = 736524288.

The previous prime is 2770464953. The next prime is 2770464989. The reversal of 2770464960 is 694640772.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1072951 + ... + 1075529.

Almost surely, 2^2770464960 is an apocalyptic number.

2770464960 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 2770464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779248760).

2770464960 is an abundant number, since it is smaller than the sum of its proper divisors (6788032560).

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

2770464960 is a wasteful number, since it uses less digits than its factorization.

2770464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2770464960 is about 52635.2064686746. The cubic root of 2770464960 is about 1404.4864508643.

The spelling of 2770464960 in words is "two billion, seven hundred seventy million, four hundred sixty-four thousand, nine hundred sixty".