2897793360 has 960 divisors, whose sum is σ = 13434854400. Its totient is φ = 566092800.

The previous prime is 2897793337. The next prime is 2897793389. The reversal of 2897793360 is 633977982.

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 = 2897793297 and 2897793306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22120495 + ... + 22120625.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^2897793360 is an apocalyptic number.

2897793360 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 2897793360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717427200).

2897793360 is an abundant number, since it is smaller than the sum of its proper divisors (10537061040).

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

2897793360 is a wasteful number, since it uses less digits than its factorization.

2897793360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

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

The square root of 2897793360 is about 53831.1560344007. The cubic root of 2897793360 is about 1425.6813583697.

The spelling of 2897793360 in words is "two billion, eight hundred ninety-seven million, seven hundred ninety-three thousand, three hundred sixty".