2794994208 has 288 divisors, whose sum is σ = 8935012800. Its totient is φ = 847024128.

The previous prime is 2794994179. The next prime is 2794994249. The reversal of 2794994208 is 8024994972.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20107803 + ... + 20107941.

It is an arithmetic number, because the mean of its divisors is an integer number (31024350).

Almost surely, 2^2794994208 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 2794994208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467506400).

2794994208 is an abundant number, since it is smaller than the sum of its proper divisors (6140018592).

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

2794994208 is a wasteful number, since it uses less digits than its factorization.

2794994208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2794994208 is about 52867.7047733302. The cubic root of 2794994208 is about 1408.6193093834.

The spelling of 2794994208 in words is "two billion, seven hundred ninety-four million, nine hundred ninety-four thousand, two hundred eight".