2107326240 has 384 divisors, whose sum is σ = 7803371520. Its totient is φ = 530095104.

The previous prime is 2107326227. The next prime is 2107326251. The reversal of 2107326240 is 426237012.

2107326240 = 383² + 384² + ... + 1854².

2107326240 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 32 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12618637 + ... + 12618803.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^2107326240 is an apocalyptic number.

2107326240 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 2107326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901685760).

2107326240 is an abundant number, since it is smaller than the sum of its proper divisors (5696045280).

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

2107326240 is a wasteful number, since it uses less digits than its factorization.

2107326240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2107326240 is about 45905.6231849650. The cubic root of 2107326240 is about 1282.0666159895.

The spelling of 2107326240 in words is "two billion, one hundred seven million, three hundred twenty-six thousand, two hundred forty".