2981010193920 has 640 divisors, whose sum is σ = 11582258688000. Its totient is φ = 720739860480.

The previous prime is 2981010193879. The next prime is 2981010193939. The reversal of 2981010193920 is 293910101892.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295759441 + ... + 295769519.

It is an arithmetic number, because the mean of its divisors is an integer number (18097279200).

Almost surely, 2^{2981010193920} is an apocalyptic number.

2981010193920 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 2981010193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791129344000).

2981010193920 is an abundant number, since it is smaller than the sum of its proper divisors (8601248494080).

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

2981010193920 is a wasteful number, since it uses less digits than its factorization.

2981010193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 2981010193920 in words is "two trillion, nine hundred eighty-one billion, ten million, one hundred ninety-three thousand, nine hundred twenty".