2130825840 has 320 divisors, whose sum is σ = 7931492352. Its totient is φ = 466329600.

The previous prime is 2130825839. The next prime is 2130825859. The reversal of 2130825840 is 485280312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1612380 + ... + 1613700.

Almost surely, 2^2130825840 is an apocalyptic number.

2130825840 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 2130825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965746176).

2130825840 is an abundant number, since it is smaller than the sum of its proper divisors (5800666512).

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

2130825840 is a wasteful number, since it uses less digits than its factorization.

2130825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2130825840 is about 46160.8691425974. The cubic root of 2130825840 is about 1286.8146154457.

The spelling of 2130825840 in words is "two billion, one hundred thirty million, eight hundred twenty-five thousand, eight hundred forty".