2150756440 has 96 divisors (see below), whose sum is σ = 5715390240. Its totient is φ = 713525760.

The previous prime is 2150756437. The next prime is 2150756449. The reversal of 2150756440 is 446570512.

2150756440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2150756396 and 2150756405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150756449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265084 + ... + 273076.

It is an arithmetic number, because the mean of its divisors is an integer number (59535315).

Almost surely, 2^2150756440 is an apocalyptic number.

2150756440 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 2150756440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857695120).

2150756440 is an abundant number, since it is smaller than the sum of its proper divisors (3564633800).

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

2150756440 is a wasteful number, since it uses less digits than its factorization.

2150756440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2150756440 is about 46376.2486624350. The cubic root of 2150756440 is about 1290.8142286667.

The spelling of 2150756440 in words is "two billion, one hundred fifty million, seven hundred fifty-six thousand, four hundred forty".