2131761240 has 768 divisors, whose sum is σ = 9246182400. Its totient is φ = 429981696.

The previous prime is 2131761193. The next prime is 2131761251. The reversal of 2131761240 is 421671312.

2131761240 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 7 + 612 + 40 = 666.

It is a Cunningham number, because it is equal to 46171²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21976872 + ... + 21976968.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^2131761240 is an apocalyptic number.

2131761240 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 2131761240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2131761240 is an abundant number, since it is smaller than the sum of its proper divisors (7114421160).

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

2131761240 is a wasteful number, since it uses less digits than its factorization.

2131761240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2131761240 is about 46170.9999891707. Note that the first 4 decimals coincide. The cubic root of 2131761240 is about 1287.0028852202.

The spelling of 2131761240 in words is "two billion, one hundred thirty-one million, seven hundred sixty-one thousand, two hundred forty".