2117528400 has 240 divisors, whose sum is σ = 7362028800. Its totient is φ = 517171200.

The previous prime is 2117528393. The next prime is 2117528401. The reversal of 2117528400 is 48257112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117528401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323945 + ... + 2324855.

It is an arithmetic number, because the mean of its divisors is an integer number (30675120).

Almost surely, 2^2117528400 is an apocalyptic number.

2117528400 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 2117528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681014400).

2117528400 is an abundant number, since it is smaller than the sum of its proper divisors (5244500400).

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

2117528400 is a wasteful number, since it uses less digits than its factorization.

2117528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2117528400 is about 46016.6100446350. The cubic root of 2117528400 is about 1284.1322347095.

The spelling of 2117528400 in words is "two billion, one hundred seventeen million, five hundred twenty-eight thousand, four hundred".