2980190638080 has 416 divisors, whose sum is σ = 10640871745920. Its totient is φ = 791272488960.

The previous prime is 2980190638049. The next prime is 2980190638081. The reversal of 2980190638080 is 808360910892.

It is a happy number.

2980190638080 is a `hidden beast` number, since 29 + 80 + 1 + 90 + 6 + 380 + 80 = 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 (2980190638081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128828115 + ... + 128851245.

It is an arithmetic number, because the mean of its divisors is an integer number (25579018620).

Almost surely, 2^{2980190638080} is an apocalyptic number.

2980190638080 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 2980190638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320435872960).

2980190638080 is an abundant number, since it is smaller than the sum of its proper divisors (7660681107840).

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

2980190638080 is a wasteful number, since it uses less digits than its factorization.

2980190638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23374 counting only the distinct ones).

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

The spelling of 2980190638080 in words is "two trillion, nine hundred eighty billion, one hundred ninety million, six hundred thirty-eight thousand, eighty".