2980105920 has 336 divisors, whose sum is σ = 11773082880. Its totient is φ = 684288000.

The previous prime is 2980105913. The next prime is 2980105949. The reversal of 2980105920 is 295010892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599445 + ... + 604395.

Almost surely, 2^2980105920 is an apocalyptic number.

2980105920 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 2980105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886541440).

2980105920 is an abundant number, since it is smaller than the sum of its proper divisors (8792976960).

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

2980105920 is a wasteful number, since it uses less digits than its factorization.

2980105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2980105920 is about 54590.3463993406. The cubic root of 2980105920 is about 1439.0544718789.

It can be divided in two parts, 2980 and 105920, that added together give a square (108900 = 330²).

The spelling of 2980105920 in words is "two billion, nine hundred eighty million, one hundred five thousand, nine hundred twenty".