2770961664 has 144 divisors (see below), whose sum is σ = 7530586560. Its totient is φ = 904396800.

The previous prime is 2770961663. The next prime is 2770961693. The reversal of 2770961664 is 4661690772.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770961663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10781824 + ... + 10782080.

It is an arithmetic number, because the mean of its divisors is an integer number (52295740).

Almost surely, 2^2770961664 is an apocalyptic number.

2770961664 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 2770961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765293280).

2770961664 is an abundant number, since it is smaller than the sum of its proper divisors (4759624896).

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

2770961664 is a wasteful number, since it uses less digits than its factorization.

2770961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 2770961664 is about 52639.9246200068. The cubic root of 2770961664 is about 1404.5703805008.

The spelling of 2770961664 in words is "two billion, seven hundred seventy million, nine hundred sixty-one thousand, six hundred sixty-four".