2946988808280 has 768 divisors, whose sum is σ = 12076740748800. Its totient is φ = 636999966720.

The previous prime is 2946988808189. The next prime is 2946988808293. The reversal of 2946988808280 is 828088896492.

2946988808280 is a `hidden beast` number, since 2 + 9 + 469 + 8 + 8 + 8 + 0 + 82 + 80 = 666.

It is a super-2 number, since 2×2946988808280² (a number of 26 digits) contains 22 as substring.

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 = 2946988808199 and 2946988808208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34492494 + ... + 34577826.

It is an arithmetic number, because the mean of its divisors is an integer number (15724922850).

Almost surely, 2^{2946988808280} is an apocalyptic number.

2946988808280 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 2946988808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038370374400).

2946988808280 is an abundant number, since it is smaller than the sum of its proper divisors (9129751940520).

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

2946988808280 is a wasteful number, since it uses less digits than its factorization.

2946988808280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85406 (or 85390 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 2946988808280 in words is "two trillion, nine hundred forty-six billion, nine hundred eighty-eight million, eight hundred eight thousand, two hundred eighty".