2134083744 has 72 divisors (see below), whose sum is σ = 6535642932. Its totient is φ = 656640000.

The previous prime is 2134083689. The next prime is 2134083769. The reversal of 2134083744 is 4473804312.

2134083744 is a `hidden beast` number, since 213 + 408 + 37 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1809651600 + 324432144 = 42540^2 + 18012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2134083699 and 2134083708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281257 + ... + 288744.

Almost surely, 2^2134083744 is an apocalyptic number.

2134083744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134083744 is an abundant number, since it is smaller than the sum of its proper divisors (4401559188).

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

2134083744 is a wasteful number, since it uses less digits than its factorization.

2134083744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570030 (or 570019 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2134083744 is about 46196.1442546886. The cubic root of 2134083744 is about 1287.4701020990.

The spelling of 2134083744 in words is "two billion, one hundred thirty-four million, eighty-three thousand, seven hundred forty-four".