2153245440 has 144 divisors (see below), whose sum is σ = 6928816608. Its totient is φ = 569868288.

The previous prime is 2153245439. The next prime is 2153245453. The reversal of 2153245440 is 445423512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2153245398 and 2153245407.

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, 524034 + ... + 528126.

It is an arithmetic number, because the mean of its divisors is an integer number (48116782).

Almost surely, 2^2153245440 is an apocalyptic number.

2153245440 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 2153245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464408304).

2153245440 is an abundant number, since it is smaller than the sum of its proper divisors (4775571168).

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

2153245440 is a wasteful number, since it uses less digits than its factorization.

2153245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2153245440 is about 46403.0757601261. The cubic root of 2153245440 is about 1291.3119757200.

Adding to 2153245440 its reverse (445423512), we get a palindrome (2598668952).

The spelling of 2153245440 in words is "two billion, one hundred fifty-three million, two hundred forty-five thousand, four hundred forty".