2980494910800 has 960 divisors, whose sum is σ = 12234621696000. Its totient is φ = 681550848000.

The previous prime is 2980494910787. The next prime is 2980494910847. The reversal of 2980494910800 is 80194940892.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 543982461 + ... + 543987939.

It is an arithmetic number, because the mean of its divisors is an integer number (12744397600).

Almost surely, 2^{2980494910800} is an apocalyptic number.

2980494910800 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 2980494910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117310848000).

2980494910800 is an abundant number, since it is smaller than the sum of its proper divisors (9254126785200).

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

2980494910800 is a wasteful number, since it uses less digits than its factorization.

2980494910800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2980494910800 in words is "two trillion, nine hundred eighty billion, four hundred ninety-four million, nine hundred ten thousand, eight hundred".