2134962900 has 576 divisors, whose sum is σ = 8359464960. Its totient is φ = 457228800.

The previous prime is 2134962899. The next prime is 2134962941. The reversal of 2134962900 is 92694312.

2134962900 is a `hidden beast` number, since 21 + 3 + 4 + 9 + 629 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 30069865 + ... + 30069935.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2^2134962900 is an apocalyptic number.

2134962900 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 2134962900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2134962900 is an abundant number, since it is smaller than the sum of its proper divisors (6224502060).

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

2134962900 is a wasteful number, since it uses less digits than its factorization.

2134962900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2134962900 is about 46205.6587443573. The cubic root of 2134962900 is about 1287.6468729924.

The spelling of 2134962900 in words is "two billion, one hundred thirty-four million, nine hundred sixty-two thousand, nine hundred".