2106518400 has 768 divisors, whose sum is σ = 9126796800. Its totient is φ = 470292480.

The previous prime is 2106518389. The next prime is 2106518471. The reversal of 2106518400 is 48156012.

2106518400 is a `hidden beast` number, since 2 + 1 + 0 + 651 + 8 + 4 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988779 + ... + 48988821.

It is an arithmetic number, because the mean of its divisors is an integer number (11883850).

Almost surely, 2^2106518400 is an apocalyptic number.

2106518400 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 2106518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563398400).

2106518400 is an abundant number, since it is smaller than the sum of its proper divisors (7020278400).

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

2106518400 is an frugal number, since it uses more digits than its factorization.

2106518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2106518400 is about 45896.8234194917. The cubic root of 2106518400 is about 1281.9027690177.

The spelling of 2106518400 in words is "two billion, one hundred six million, five hundred eighteen thousand, four hundred".