2131509120 has 192 divisors, whose sum is σ = 7358137200. Its totient is φ = 524599296.

The previous prime is 2131509103. The next prime is 2131509143. The reversal of 2131509120 is 219051312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2131509120² = 9086662257286348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321196 + ... + 327764.

Almost surely, 2^2131509120 is an apocalyptic number.

2131509120 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 2131509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679068600).

2131509120 is an abundant number, since it is smaller than the sum of its proper divisors (5226628080).

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

2131509120 is a wasteful number, since it uses less digits than its factorization.

2131509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 2131509120 is about 46168.2696231947. The cubic root of 2131509120 is about 1286.9521459607.

The spelling of 2131509120 in words is "two billion, one hundred thirty-one million, five hundred nine thousand, one hundred twenty".