2912134680 has 960 divisors, whose sum is σ = 13139612640. Its totient is φ = 571318272.

The previous prime is 2912134669. The next prime is 2912134703. The reversal of 2912134680 is 864312192.

2912134680 is a `hidden beast` number, since 291 + 21 + 346 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35085919 + ... + 35086001.

Almost surely, 2^2912134680 is an apocalyptic number.

2912134680 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 2912134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569806320).

2912134680 is an abundant number, since it is smaller than the sum of its proper divisors (10227477960).

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

2912134680 is a wasteful number, since it uses less digits than its factorization.

2912134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2912134680 is about 53964.1981317243. The cubic root of 2912134680 is about 1428.0294111589.

The spelling of 2912134680 in words is "two billion, nine hundred twelve million, one hundred thirty-four thousand, six hundred eighty".