2980877690880 has 384 divisors, whose sum is σ = 11153797200000. Its totient is φ = 753062510592.

The previous prime is 2980877690873. The next prime is 2980877690881. The reversal of 2980877690880 is 880967780892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2980877690799 and 2980877690808.

It is not an unprimeable number, because it can be changed into a prime (2980877690881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4969396 + ... + 5536844.

It is an arithmetic number, because the mean of its divisors is an integer number (29046346875).

Almost surely, 2^{2980877690880} is an apocalyptic number.

2980877690880 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 2980877690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576898600000).

2980877690880 is an abundant number, since it is smaller than the sum of its proper divisors (8172919509120).

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

2980877690880 is a wasteful number, since it uses less digits than its factorization.

2980877690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567504 (or 567478 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 2980877690880 in words is "two trillion, nine hundred eighty billion, eight hundred seventy-seven million, six hundred ninety thousand, eight hundred eighty".