2898431958400 has 768 divisors, whose sum is σ = 8640121996800. Its totient is φ = 949329920000.

The previous prime is 2898431958391. The next prime is 2898431958413. The reversal of 2898431958400 is 48591348982.

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, 962612895 + ... + 962615905.

It is an arithmetic number, because the mean of its divisors is an integer number (11250158850).

Almost surely, 2^{2898431958400} is an apocalyptic number.

2898431958400 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 2898431958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320060998400).

2898431958400 is an abundant number, since it is smaller than the sum of its proper divisors (5741690038400).

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

2898431958400 is a wasteful number, since it uses less digits than its factorization.

2898431958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 2898431958400 in words is "two trillion, eight hundred ninety-eight billion, four hundred thirty-one million, nine hundred fifty-eight thousand, four hundred".