2129952240 has 160 divisors (see below), whose sum is σ = 7900952640. Its totient is φ = 524289024.

The previous prime is 2129952233. The next prime is 2129952263. The reversal of 2129952240 is 422599212.

2129952240 is a `hidden beast` number, since 2 + 1 + 2 + 99 + 522 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2129952195 and 2129952204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9847 + ... + 66006.

It is an arithmetic number, because the mean of its divisors is an integer number (49380954).

Almost surely, 2^2129952240 is an apocalyptic number.

2129952240 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 2129952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950476320).

2129952240 is an abundant number, since it is smaller than the sum of its proper divisors (5771000400).

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

2129952240 is a wasteful number, since it uses less digits than its factorization.

2129952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75888 (or 75876 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2129952240 is about 46151.4056123971. The cubic root of 2129952240 is about 1286.6387345125.

The spelling of 2129952240 in words is "two billion, one hundred twenty-nine million, nine hundred fifty-two thousand, two hundred forty".