2542406500 has 24 divisors (see below), whose sum is σ = 5552616888. Its totient is φ = 1016962400.

The previous prime is 2542406467. The next prime is 2542406501. The reversal of 2542406500 is 56042452.

It can be written as a sum of positive squares in 4 ways, for example, as 121176064 + 2421230436 = 11008^2 + 49206^2 .

It is a super-2 number, since 2×2542406500² = 12927661622484500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2542406501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2541907 + ... + 2542906.

It is an arithmetic number, because the mean of its divisors is an integer number (231359037).

Almost surely, 2^2542406500 is an apocalyptic number.

2542406500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542406500 is an abundant number, since it is smaller than the sum of its proper divisors (3010210388).

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

2542406500 is a wasteful number, since it uses less digits than its factorization.

2542406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084832 (or 5084820 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2542406500 is about 50422.2817809746. The cubic root of 2542406500 is about 1364.8397527312.

Adding to 2542406500 its reverse (56042452), we get a palindrome (2598448952).

The spelling of 2542406500 in words is "two billion, five hundred forty-two million, four hundred six thousand, five hundred".