2040980760000 has 2240 divisors, whose sum is σ = 9722547788800. Its totient is φ = 407586816000.

The previous prime is 2040980759959. The next prime is 2040980760067. The reversal of 2040980760000 is 670890402.

2040980760000 is a `hidden beast` number, since 2 + 0 + 40 + 9 + 8 + 0 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1867319454 + ... + 1867320546.

It is an arithmetic number, because the mean of its divisors is an integer number (4340423120).

Almost surely, 2^{2040980760000} is an apocalyptic number.

2040980760000 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 2040980760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861273894400).

2040980760000 is an abundant number, since it is smaller than the sum of its proper divisors (7681567028800).

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

2040980760000 is a wasteful number, since it uses less digits than its factorization.

2040980760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2040980760000 in words is "two trillion, forty billion, nine hundred eighty million, seven hundred sixty thousand".