2978793360 has 80 divisors (see below), whose sum is σ = 10260295680. Its totient is φ = 794344320.

The previous prime is 2978793347. The next prime is 2978793361. The reversal of 2978793360 is 633978792.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2978793297 and 2978793306.

It is not an unprimeable number, because it can be changed into a prime (2978793361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687376 + ... + 691695.

It is an arithmetic number, because the mean of its divisors is an integer number (128253696).

Almost surely, 2^2978793360 is an apocalyptic number.

2978793360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2978793360 is an abundant number, since it is smaller than the sum of its proper divisors (7281502320).

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

2978793360 is a wasteful number, since it uses less digits than its factorization.

2978793360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379093 (or 1379081 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 2978793360 is about 54578.3231695515. The cubic root of 2978793360 is about 1438.8431681239.

The spelling of 2978793360 in words is "two billion, nine hundred seventy-eight million, seven hundred ninety-three thousand, three hundred sixty".