2134526784 has 168 divisors, whose sum is σ = 6169091040. Its totient is φ = 651036672.

The previous prime is 2134526777. The next prime is 2134526831. The reversal of 2134526784 is 4876254312.

It is a super-2 number, since 2×2134526784² = 9112409183226765312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5094127 + ... + 5094545.

It is an arithmetic number, because the mean of its divisors is an integer number (36720780).

Almost surely, 2^2134526784 is an apocalyptic number.

2134526784 is a gapful number since it is divisible by the number (24) 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 2134526784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084545520).

2134526784 is an abundant number, since it is smaller than the sum of its proper divisors (4034564256).

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

2134526784 is a wasteful number, since it uses less digits than its factorization.

2134526784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 594 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2134526784 is about 46200.9392112325. The cubic root of 2134526784 is about 1287.5591897130.

The spelling of 2134526784 in words is "two billion, one hundred thirty-four million, five hundred twenty-six thousand, seven hundred eighty-four".