2153220456 has 64 divisors (see below), whose sum is σ = 5508576000. Its totient is φ = 701164800.

The previous prime is 2153220451. The next prime is 2153220497. The reversal of 2153220456 is 6540223512.

It is not an unprimeable number, because it can be changed into a prime (2153220451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213201 + ... + 223071.

It is an arithmetic number, because the mean of its divisors is an integer number (86071500).

Almost surely, 2^2153220456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754288000).

2153220456 is an abundant number, since it is smaller than the sum of its proper divisors (3355355544).

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

2153220456 is a wasteful number, since it uses less digits than its factorization.

2153220456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2153220456 is about 46402.8065530524. The cubic root of 2153220456 is about 1291.3069813578.

Adding to 2153220456 its reverse (6540223512), we get a palindrome (8693443968).

The spelling of 2153220456 in words is "two billion, one hundred fifty-three million, two hundred twenty thousand, four hundred fifty-six".