2134556952 has 128 divisors (see below), whose sum is σ = 6096384000. Its totient is φ = 616499840.

The previous prime is 2134556951. The next prime is 2134556969. The reversal of 2134556952 is 2596554312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134556951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543749 + ... + 2544587.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^2134556952 is an apocalyptic number.

2134556952 is a gapful number since it is divisible by the number (22) 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 2134556952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

2134556952 is an abundant number, since it is smaller than the sum of its proper divisors (3961827048).

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

2134556952 is a wasteful number, since it uses less digits than its factorization.

2134556952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1297 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 2134556952 is about 46201.2656969482. The cubic root of 2134556952 is about 1287.5652555231.

The spelling of 2134556952 in words is "two billion, one hundred thirty-four million, five hundred fifty-six thousand, nine hundred fifty-two".