2142275520 has 448 divisors, whose sum is σ = 8617890816. Its totient is φ = 437944320.

The previous prime is 2142275477. The next prime is 2142275563. The reversal of 2142275520 is 255722412.

It is an interprime number because it is at equal distance from previous prime (2142275477) and next prime (2142275563).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395962 + ... + 5396358.

Almost surely, 2^2142275520 is an apocalyptic number.

2142275520 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 2142275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308945408).

2142275520 is an abundant number, since it is smaller than the sum of its proper divisors (6475615296).

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

2142275520 is a wasteful number, since it uses less digits than its factorization.

2142275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2142275520 is about 46284.7223174127. The cubic root of 2142275520 is about 1289.1153360000.

Adding to 2142275520 its reverse (255722412), we get a palindrome (2397997932).

The spelling of 2142275520 in words is "two billion, one hundred forty-two million, two hundred seventy-five thousand, five hundred twenty".