2131578000 has 240 divisors, whose sum is σ = 7544160000. Its totient is φ = 560851200.

The previous prime is 2131577989. The next prime is 2131578067. The reversal of 2131578000 is 8751312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421251 + ... + 1422749.

It is an arithmetic number, because the mean of its divisors is an integer number (31434000).

Almost surely, 2^2131578000 is an apocalyptic number.

2131578000 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 2131578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772080000).

2131578000 is an abundant number, since it is smaller than the sum of its proper divisors (5412582000).

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

2131578000 is a wasteful number, since it uses less digits than its factorization.

2131578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2131578000 is about 46169.0155840473. The cubic root of 2131578000 is about 1286.9660084878.

The spelling of 2131578000 in words is "two billion, one hundred thirty-one million, five hundred seventy-eight thousand".