2134965600 has 360 divisors, whose sum is σ = 7962802848. Its totient is φ = 556416000.

The previous prime is 2134965577. The next prime is 2134965611. The reversal of 2134965600 is 65694312.

It is a happy number.

2134965600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 96 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2134965600² = 9116156226366720000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3045250 + ... + 3045950.

Almost surely, 2^2134965600 is an apocalyptic number.

2134965600 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 2134965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981401424).

2134965600 is an abundant number, since it is smaller than the sum of its proper divisors (5827837248).

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

2134965600 is a wasteful number, since it uses less digits than its factorization.

2134965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2134965600 is about 46205.6879615486. The cubic root of 2134965600 is about 1287.6474158035.

The spelling of 2134965600 in words is "two billion, one hundred thirty-four million, nine hundred sixty-five thousand, six hundred".