2152434560 has 128 divisors (see below), whose sum is σ = 5299430400. Its totient is φ = 835577856.

The previous prime is 2152434547. The next prime is 2152434611. The reversal of 2152434560 is 654342512.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4902821 + ... + 4903259.

It is an arithmetic number, because the mean of its divisors is an integer number (41401800).

Almost surely, 2^2152434560 is an apocalyptic number.

2152434560 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 2152434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649715200).

2152434560 is an abundant number, since it is smaller than the sum of its proper divisors (3146995840).

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

2152434560 is a wasteful number, since it uses less digits than its factorization.

2152434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2152434560 is about 46394.3375855287. The cubic root of 2152434560 is about 1291.1498591148.

The spelling of 2152434560 in words is "two billion, one hundred fifty-two million, four hundred thirty-four thousand, five hundred sixty".