2542346520 has 128 divisors (see below), whose sum is σ = 8796902400. Its totient is φ = 575755776.

The previous prime is 2542346519. The next prime is 2542346531. The reversal of 2542346520 is 256432452.

It is a happy number.

It is a super-2 number, since 2×2542346520² = 12927051655512220800, which contains 22 as substring.

It is a congruent number.

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, 77677 + ... + 105443.

It is an arithmetic number, because the mean of its divisors is an integer number (68725800).

Almost surely, 2^2542346520 is an apocalyptic number.

2542346520 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 2542346520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398451200).

2542346520 is an abundant number, since it is smaller than the sum of its proper divisors (6254555880).

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

2542346520 is a wasteful number, since it uses less digits than its factorization.

2542346520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27897 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 2542346520 is about 50421.6870007341. The cubic root of 2542346520 is about 1364.8290196283.

Adding to 2542346520 its reverse (256432452), we get a palindrome (2798778972).

The spelling of 2542346520 in words is "two billion, five hundred forty-two million, three hundred forty-six thousand, five hundred twenty".