2131509072 has 320 divisors, whose sum is σ = 7313817600. Its totient is φ = 518192640.

The previous prime is 2131509041. The next prime is 2131509103. The reversal of 2131509072 is 2709051312.

It is an interprime number because it is at equal distance from previous prime (2131509041) and next prime (2131509103).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8918329 + ... + 8918567.

It is an arithmetic number, because the mean of its divisors is an integer number (22855680).

Almost surely, 2^2131509072 is an apocalyptic number.

2131509072 is a gapful number since it is divisible by the number (22) 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 2131509072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656908800).

2131509072 is an abundant number, since it is smaller than the sum of its proper divisors (5182308528).

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

2131509072 is a wasteful number, since it uses less digits than its factorization.

2131509072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 2131509072 is about 46168.2691033571. The cubic root of 2131509072 is about 1286.9521363003.

It can be divided in two parts, 213150 and 9072, that added together give a palindrome (222222).

The spelling of 2131509072 in words is "two billion, one hundred thirty-one million, five hundred nine thousand, seventy-two".