2897951063040 has 1056 divisors, whose sum is σ = 11623786986240. Its totient is φ = 660190003200.

The previous prime is 2897951063023. The next prime is 2897951063053. The reversal of 2897951063040 is 403601597982.

2897951063040 is a `hidden beast` number, since 2 + 8 + 97 + 9 + 510 + 6 + 30 + 4 + 0 = 666.

2897951063040 is digitally balanced in base 2, because in such base 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 (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1261623172 + ... + 1261625468.

It is an arithmetic number, because the mean of its divisors is an integer number (11007374040).

It is a 1-persistent number, because it is pandigital, but 2⋅2897951063040 = 5795902126080 is not.

Almost surely, 2^{2897951063040} is an apocalyptic number.

2897951063040 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 2897951063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811893493120).

2897951063040 is an abundant number, since it is smaller than the sum of its proper divisors (8725835923200).

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

2897951063040 is a wasteful number, since it uses less digits than its factorization.

2897951063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2897951063040 in words is "two trillion, eight hundred ninety-seven billion, nine hundred fifty-one million, sixty-three thousand, forty".