2766630420 has 36 divisors (see below), whose sum is σ = 8392112820. Its totient is φ = 737768064.

The previous prime is 2766630409. The next prime is 2766630437. The reversal of 2766630420 is 240366672.

It is a happy number.

2766630420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1486565136 + 1280065284 = 38556^2 + 35778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7684905 + ... + 7685264.

It is an arithmetic number, because the mean of its divisors is an integer number (233114245).

Almost surely, 2^2766630420 is an apocalyptic number.

2766630420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2766630420 is an abundant number, since it is smaller than the sum of its proper divisors (5625482400).

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

2766630420 is a wasteful number, since it uses less digits than its factorization.

2766630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370184 (or 15370179 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2766630420 is about 52598.7682365281. The cubic root of 2766630420 is about 1403.8381786857.

The spelling of 2766630420 in words is "two billion, seven hundred sixty-six million, six hundred thirty thousand, four hundred twenty".