2302134144 has 128 divisors (see below), whose sum is σ = 6431508000. Its totient is φ = 728555520.

The previous prime is 2302134091. The next prime is 2302134167. The reversal of 2302134144 is 4414312032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2302134144² = 10599643233941225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677602 + ... + 680990.

Almost surely, 2^2302134144 is an apocalyptic number.

2302134144 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 2302134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215754000).

2302134144 is an abundant number, since it is smaller than the sum of its proper divisors (4129373856).

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

2302134144 is a wasteful number, since it uses less digits than its factorization.

2302134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2302134144 is about 47980.5600634257. The cubic root of 2302134144 is about 1320.4142685032.

Adding to 2302134144 its reverse (4414312032), we get a palindrome (6716446176).

The spelling of 2302134144 in words is "two billion, three hundred two million, one hundred thirty-four thousand, one hundred forty-four".