2897967152080 has 320 divisors, whose sum is σ = 9136116251136. Its totient is φ = 825523200000.

The previous prime is 2897967152063. The next prime is 2897967152089. The reversal of 2897967152080 is 802517697982.

It is a super-2 number, since 2×2897967152080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897967152089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7908930 + ... + 8267230.

Almost surely, 2^{2897967152080} is an apocalyptic number.

2897967152080 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 2897967152080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568058125568).

2897967152080 is an abundant number, since it is smaller than the sum of its proper divisors (6238149099056).

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

2897967152080 is a wasteful number, since it uses less digits than its factorization.

2897967152080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358446 (or 358440 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 64.

The spelling of 2897967152080 in words is "two trillion, eight hundred ninety-seven billion, nine hundred sixty-seven million, one hundred fifty-two thousand, eighty".