2134641600 has 840 divisors, whose sum is σ = 9710468768. Its totient is φ = 447897600.

The previous prime is 2134641581. The next prime is 2134641631. The reversal of 2134641600 is 61464312.

2134641600 is a `hidden beast` number, since 2 + 13 + 4 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11793510 + ... + 11793690.

Almost surely, 2^2134641600 is an apocalyptic number.

2134641600 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 2134641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855234384).

2134641600 is an abundant number, since it is smaller than the sum of its proper divisors (7575827168).

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

2134641600 is a wasteful number, since it uses less digits than its factorization.

2134641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2134641600 is about 46202.1817666655. The cubic root of 2134641600 is about 1287.5822751960.

The spelling of 2134641600 in words is "two billion, one hundred thirty-four million, six hundred forty-one thousand, six hundred".