2109526440 has 384 divisors, whose sum is σ = 7753605120. Its totient is φ = 457228800.

The previous prime is 2109526421. The next prime is 2109526451. The reversal of 2109526440 is 446259012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12941799 + ... + 12941961.

It is an arithmetic number, because the mean of its divisors is an integer number (20191680).

Almost surely, 2^2109526440 is an apocalyptic number.

2109526440 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 2109526440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876802560).

2109526440 is an abundant number, since it is smaller than the sum of its proper divisors (5644078680).

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

2109526440 is a wasteful number, since it uses less digits than its factorization.

2109526440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2109526440 is about 45929.5813174908. The cubic root of 2109526440 is about 1282.5126506813.

The spelling of 2109526440 in words is "two billion, one hundred nine million, five hundred twenty-six thousand, four hundred forty".