2520288342 has 96 divisors (see below), whose sum is σ = 6694361856. Its totient is φ = 674308800.

The previous prime is 2520288311. The next prime is 2520288343. The reversal of 2520288342 is 2438820252.

It is a super-2 number, since 2×2520288342² = 12703706653642217928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2520288297 and 2520288306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520288343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37917 + ... + 80487.

It is an arithmetic number, because the mean of its divisors is an integer number (69732936).

Almost surely, 2^2520288342 is an apocalyptic number.

2520288342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520288342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347180928).

2520288342 is an abundant number, since it is smaller than the sum of its proper divisors (4174073514).

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

2520288342 is a wasteful number, since it uses less digits than its factorization.

2520288342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42626 (or 42623 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2520288342 is about 50202.4734649599. The cubic root of 2520288342 is about 1360.8703234739.

The spelling of 2520288342 in words is "two billion, five hundred twenty million, two hundred eighty-eight thousand, three hundred forty-two".