2772293004 has 72 divisors (see below), whose sum is σ = 7555329600. Its totient is φ = 852049152.

The previous prime is 2772292997. The next prime is 2772293011. The reversal of 2772293004 is 4003922772.

It is an interprime number because it is at equal distance from previous prime (2772292997) and next prime (2772293011).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2772293004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488109 + ... + 493755.

Almost surely, 2^2772293004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772293004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777664800).

2772293004 is an abundant number, since it is smaller than the sum of its proper divisors (4783036596).

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

2772293004 is a wasteful number, since it uses less digits than its factorization.

2772293004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2772293004 is about 52652.5688262216. The cubic root of 2772293004 is about 1404.7952917477.

The spelling of 2772293004 in words is "two billion, seven hundred seventy-two million, two hundred ninety-three thousand, four".