2998653307200 has 840 divisors, whose sum is σ = 11268412108800. Its totient is φ = 781984419840.

The previous prime is 2998653307193. The next prime is 2998653307201. The reversal of 2998653307200 is 27033568992.

It is a happy number.

2998653307200 is a `hidden beast` number, since 2 + 9 + 9 + 86 + 53 + 307 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2998653307201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1115984257 + ... + 1115986943.

It is an arithmetic number, because the mean of its divisors is an integer number (13414776320).

Almost surely, 2^{2998653307200} is an apocalyptic number.

2998653307200 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 2998653307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634206054400).

2998653307200 is an abundant number, since it is smaller than the sum of its proper divisors (8269758801600).

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

2998653307200 is a wasteful number, since it uses less digits than its factorization.

2998653307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2998653307200 in words is "two trillion, nine hundred ninety-eight billion, six hundred fifty-three million, three hundred seven thousand, two hundred".