2794914720 has 480 divisors, whose sum is σ = 10857469392. Its totient is φ = 672841728.

The previous prime is 2794914697. The next prime is 2794914739. The reversal of 2794914720 is 274194972.

It is a happy number.

2794914720 is a `hidden beast` number, since 2 + 7 + 94 + 91 + 472 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 214681104 + 2580233616 = 14652^2 + 50796^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8929284 + ... + 8929596.

Almost surely, 2^2794914720 is an apocalyptic number.

2794914720 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 2794914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428734696).

2794914720 is an abundant number, since it is smaller than the sum of its proper divisors (8062554672).

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

2794914720 is a wasteful number, since it uses less digits than its factorization.

2794914720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2794914720 is about 52866.9530046890. The cubic root of 2794914720 is about 1408.6059558204.

The spelling of 2794914720 in words is "two billion, seven hundred ninety-four million, nine hundred fourteen thousand, seven hundred twenty".