2912960880 has 400 divisors, whose sum is σ = 11070791424. Its totient is φ = 706682880.

The previous prime is 2912960861. The next prime is 2912960893. The reversal of 2912960880 is 880692192.

2912960880 is a `hidden beast` number, since 29 + 12 + 9 + 608 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3414534 + ... + 3415386.

Almost surely, 2^2912960880 is an apocalyptic number.

2912960880 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 2912960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535395712).

2912960880 is an abundant number, since it is smaller than the sum of its proper divisors (8157830544).

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

2912960880 is a wasteful number, since it uses less digits than its factorization.

2912960880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2912960880 is about 53971.8526641434. The cubic root of 2912960880 is about 1428.1644468481.

It can be divided in two parts, 29129 and 60880, that added together give a palindrome (90009).

The spelling of 2912960880 in words is "two billion, nine hundred twelve million, nine hundred sixty thousand, eight hundred eighty".