2980266382944 has 144 divisors (see below), whose sum is σ = 8997105341952. Its totient is φ = 932543729664.

The previous prime is 2980266382829. The next prime is 2980266382979. The reversal of 2980266382944 is 4492836620892.

2980266382944 is a `hidden beast` number, since 2 + 9 + 80 + 266 + 3 + 8 + 294 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2980266382944² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080502 + ... + 2669834.

It is an arithmetic number, because the mean of its divisors is an integer number (62479898208).

Almost surely, 2^{2980266382944} is an apocalyptic number.

2980266382944 is a gapful number since it is divisible by the number (24) 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 2980266382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498552670976).

2980266382944 is an abundant number, since it is smaller than the sum of its proper divisors (6016838959008).

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

2980266382944 is a wasteful number, since it uses less digits than its factorization.

2980266382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589749 (or 1589738 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 2980266382944 in words is "two trillion, nine hundred eighty billion, two hundred sixty-six million, three hundred eighty-two thousand, nine hundred forty-four".