2770560000 has 660 divisors, whose sum is σ = 11056657612. Its totient is φ = 663552000.

The previous prime is 2770559999. The next prime is 2770560007. The reversal of 2770560000 is 650772.

It can be written as a sum of positive squares in 10 ways, for example, as 2053177344 + 717382656 = 45312^2 + 26784^2 .

It is not an unprimeable number, because it can be changed into a prime (2770560007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74879982 + ... + 74880018.

Almost surely, 2^2770560000 is an apocalyptic number.

2770560000 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 2770560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528328806).

2770560000 is an abundant number, since it is smaller than the sum of its proper divisors (8286097612).

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

2770560000 is a wasteful number, since it uses less digits than its factorization.

2770560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2770560000 is about 52636.1092787071. The cubic root of 2770560000 is about 1404.5025108479.

The spelling of 2770560000 in words is "two billion, seven hundred seventy million, five hundred sixty thousand".