2542360040 has 96 divisors (see below), whose sum is σ = 6334524000. Its totient is φ = 917600640.

The previous prime is 2542360019. The next prime is 2542360043. The reversal of 2542360040 is 400632452.

2542360040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2542359991 and 2542360009.

It is not an unprimeable number, because it can be changed into a prime (2542360043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670871 + ... + 674649.

It is an arithmetic number, because the mean of its divisors is an integer number (65984625).

Almost surely, 2^2542360040 is an apocalyptic number.

2542360040 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 2542360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167262000).

2542360040 is an abundant number, since it is smaller than the sum of its proper divisors (3792163960).

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

2542360040 is a wasteful number, since it uses less digits than its factorization.

2542360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2542360040 is about 50421.8210698503. The cubic root of 2542360040 is about 1364.8314389753.

Adding to 2542360040 its reverse (400632452), we get a palindrome (2942992492).

The spelling of 2542360040 in words is "two billion, five hundred forty-two million, three hundred sixty thousand, forty".