2794970880 has 288 divisors, whose sum is σ = 10682925120. Its totient is φ = 687882240.

The previous prime is 2794970821. The next prime is 2794970897. The reversal of 2794970880 is 880794972.

2794970880 is a `hidden beast` number, since 2 + 79 + 497 + 0 + 8 + 80 = 666.

2794970880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446170 + ... + 452390.

It is an arithmetic number, because the mean of its divisors is an integer number (37093490).

Almost surely, 2^2794970880 is an apocalyptic number.

2794970880 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 2794970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341462560).

2794970880 is an abundant number, since it is smaller than the sum of its proper divisors (7887954240).

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

2794970880 is a wasteful number, since it uses less digits than its factorization.

2794970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2794970880 is about 52867.4841466851. The cubic root of 2794970880 is about 1408.6153904292.

The spelling of 2794970880 in words is "two billion, seven hundred ninety-four million, nine hundred seventy thousand, eight hundred eighty".