2774730400 has 72 divisors (see below), whose sum is σ = 7294900284. Its totient is φ = 1024512000.

The previous prime is 2774730397. The next prime is 2774730407. The reversal of 2774730400 is 40374772.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 147962896 + 2626767504 = 12164^2 + 51252^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2774730407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123001 + ... + 143800.

Almost surely, 2^2774730400 is an apocalyptic number.

2774730400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2774730400 is an abundant number, since it is smaller than the sum of its proper divisors (4520169884).

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

2774730400 is a wasteful number, since it uses less digits than its factorization.

2774730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266834 (or 266821 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The square root of 2774730400 is about 52675.7097721521. The cubic root of 2774730400 is about 1405.2068691482.

The spelling of 2774730400 in words is "two billion, seven hundred seventy-four million, seven hundred thirty thousand, four hundred".