2957098400000 has 216 divisors, whose sum is σ = 7389760728168. Its totient is φ = 1180928000000.

The previous prime is 2957098399993. The next prime is 2957098400021. The reversal of 2957098400000 is 48907592.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2793390766336 + 163707633664 = 1671344^2 + 404608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560797364 + ... + 560802636.

It is an arithmetic number, because the mean of its divisors is an integer number (34211855223).

Almost surely, 2^{2957098400000} is an apocalyptic number.

2957098400000 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 2957098400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694880364084).

2957098400000 is an abundant number, since it is smaller than the sum of its proper divisors (4432662328168).

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

2957098400000 is an frugal number, since it uses more digits than its factorization.

2957098400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 2957098400000 in words is "two trillion, nine hundred fifty-seven billion, ninety-eight million, four hundred thousand".