2770511040 has 672 divisors, whose sum is σ = 11183477760. Its totient is φ = 646963200.

The previous prime is 2770510991. The next prime is 2770511041. The reversal of 2770511040 is 401150772.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2770510995 and 2770511013.

It is not an unprimeable number, because it can be changed into a prime (2770511041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35069721 + ... + 35069799.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^2770511040 is an apocalyptic number.

2770511040 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 2770511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

2770511040 is an abundant number, since it is smaller than the sum of its proper divisors (8412966720).

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

2770511040 is a wasteful number, since it uses less digits than its factorization.

2770511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2770511040 is about 52635.6441966848. The cubic root of 2770511040 is about 1404.4942375689.

The spelling of 2770511040 in words is "two billion, seven hundred seventy million, five hundred eleven thousand, forty".