2141688600 has 240 divisors, whose sum is σ = 7544461320. Its totient is φ = 562982400.

The previous prime is 2141688557. The next prime is 2141688643. The reversal of 2141688600 is 68861412.

2141688600 is a `hidden beast` number, since 2 + 1 + 41 + 6 + 8 + 8 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2141688557) and next prime (2141688643).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1181695 + ... + 1183505.

Almost surely, 2^2141688600 is an apocalyptic number.

2141688600 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 2141688600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772230660).

2141688600 is an abundant number, since it is smaller than the sum of its proper divisors (5402772720).

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

2141688600 is a wasteful number, since it uses less digits than its factorization.

2141688600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2141688600 is about 46278.3815620209. The cubic root of 2141688600 is about 1288.9975987820.

The spelling of 2141688600 in words is "two billion, one hundred forty-one million, six hundred eighty-eight thousand, six hundred".