2770607140 has 96 divisors (see below), whose sum is σ = 6963264000. Its totient is φ = 905389056.

The previous prime is 2770607123. The next prime is 2770607141. The reversal of 2770607140 is 417060772.

It is a junction number, because it is equal to n+sod(n) for n = 2770607096 and 2770607105.

It is not an unprimeable number, because it can be changed into a prime (2770607141) 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 31 ways as a sum of consecutive naturals, for example, 1006486 + ... + 1009234.

It is an arithmetic number, because the mean of its divisors is an integer number (72534000).

Almost surely, 2^2770607140 is an apocalyptic number.

2770607140 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 2770607140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481632000).

2770607140 is an abundant number, since it is smaller than the sum of its proper divisors (4192656860).

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

2770607140 is a wasteful number, since it uses less digits than its factorization.

2770607140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 2770607140 is about 52636.5570682582. The cubic root of 2770607140 is about 1404.5104764906.

The spelling of 2770607140 in words is "two billion, seven hundred seventy million, six hundred seven thousand, one hundred forty".