2102538240 has 624 divisors, whose sum is σ = 8556122016. Its totient is φ = 471859200.

The previous prime is 2102538211. The next prime is 2102538287. The reversal of 2102538240 is 428352012.

2102538240 is a `hidden beast` number, since 2 + 102 + 538 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34467810 + ... + 34467870.

It is an arithmetic number, because the mean of its divisors is an integer number (13711734).

Almost surely, 2^2102538240 is an apocalyptic number.

2102538240 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 2102538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278061008).

2102538240 is an abundant number, since it is smaller than the sum of its proper divisors (6453583776).

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

2102538240 is a wasteful number, since it uses less digits than its factorization.

2102538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2102538240 is about 45853.4430550204. The cubic root of 2102538240 is about 1281.0948965051.

The spelling of 2102538240 in words is "two billion, one hundred two million, five hundred thirty-eight thousand, two hundred forty".