2897958336000 has 1280 divisors, whose sum is σ = 12114184642560. Its totient is φ = 598258483200.

The previous prime is 2897958335989. The next prime is 2897958336017. The reversal of 2897958336000 is 6338597982.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 821182236 + ... + 821185764.

It is an arithmetic number, because the mean of its divisors is an integer number (9464206752).

Almost surely, 2^{2897958336000} is an apocalyptic number.

2897958336000 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 2897958336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057092321280).

2897958336000 is an abundant number, since it is smaller than the sum of its proper divisors (9216226306560).

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

2897958336000 is a wasteful number, since it uses less digits than its factorization.

2897958336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 2897958336000 in words is "two trillion, eight hundred ninety-seven billion, nine hundred fifty-eight million, three hundred thirty-six thousand".