2153076240 has 160 divisors (see below), whose sum is σ = 7772288256. Its totient is φ = 482826240.

The previous prime is 2153076229. The next prime is 2153076271. The reversal of 2153076240 is 426703512.

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 = 2153076198 and 2153076207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76950 + ... + 101130.

Almost surely, 2^2153076240 is an apocalyptic number.

2153076240 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 2153076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886144128).

2153076240 is an abundant number, since it is smaller than the sum of its proper divisors (5619212016).

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

2153076240 is a wasteful number, since it uses less digits than its factorization.

2153076240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24257 (or 24251 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2153076240 is about 46401.2525693003. The cubic root of 2153076240 is about 1291.2781514742.

Adding to 2153076240 its reverse (426703512), we get a palindrome (2579779752).

The spelling of 2153076240 in words is "two billion, one hundred fifty-three million, seventy-six thousand, two hundred forty".