2794434240 has 336 divisors, whose sum is σ = 9915351264. Its totient is φ = 662814720.

The previous prime is 2794434239. The next prime is 2794434257. The reversal of 2794434240 is 424344972.

2794434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 11993164 + ... + 11993396.

It is an arithmetic number, because the mean of its divisors is an integer number (29509974).

Almost surely, 2^2794434240 is an apocalyptic number.

2794434240 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 2794434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957675632).

2794434240 is an abundant number, since it is smaller than the sum of its proper divisors (7120917024).

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

2794434240 is a wasteful number, since it uses less digits than its factorization.

2794434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2794434240 is about 52862.4085716873. The cubic root of 2794434240 is about 1408.5252323345.

The spelling of 2794434240 in words is "two billion, seven hundred ninety-four million, four hundred thirty-four thousand, two hundred forty".