2129417280 has 672 divisors, whose sum is σ = 8490313728. Its totient is φ = 486604800.

The previous prime is 2129417261. The next prime is 2129417281. The reversal of 2129417280 is 827149212.

2129417280 is a `hidden beast` number, since 212 + 9 + 417 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2129417281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34908450 + ... + 34908510.

Almost surely, 2^2129417280 is an apocalyptic number.

2129417280 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 2129417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245156864).

2129417280 is an abundant number, since it is smaller than the sum of its proper divisors (6360896448).

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

2129417280 is a wasteful number, since it uses less digits than its factorization.

2129417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2129417280 is about 46145.6095419705. The cubic root of 2129417280 is about 1286.5310078576.

The spelling of 2129417280 in words is "two billion, one hundred twenty-nine million, four hundred seventeen thousand, two hundred eighty".