2740977982080 has 1024 divisors, whose sum is σ = 10676166681600. Its totient is φ = 660499660800.

The previous prime is 2740977982049. The next prime is 2740977982123. The reversal of 2740977982080 is 802897790472.

2740977982080 is a `hidden beast` number, since 2 + 7 + 409 + 7 + 79 + 82 + 0 + 80 = 666.

It is a super-2 number, since 2×2740977982080² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2740977981999 and 2740977982017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4343863365 + ... + 4343863995.

It is an arithmetic number, because the mean of its divisors is an integer number (10425944025).

Almost surely, 2^{2740977982080} is an apocalyptic number.

2740977982080 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 2740977982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338083340800).

2740977982080 is an abundant number, since it is smaller than the sum of its proper divisors (7935188699520).

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

2740977982080 is a wasteful number, since it uses less digits than its factorization.

2740977982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 2740977982080 in words is "two trillion, seven hundred forty billion, nine hundred seventy-seven million, nine hundred eighty-two thousand, eighty".