2542541540 has 72 divisors (see below), whose sum is σ = 6707311296. Its totient is φ = 792475200.

The previous prime is 2542541501. The next prime is 2542541557. The reversal of 2542541540 is 451452452.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2542541497 and 2542541506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58106 + ... + 91985.

Almost surely, 2^2542541540 is an apocalyptic number.

2542541540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542541540 is an abundant number, since it is smaller than the sum of its proper divisors (4164769756).

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

2542541540 is a wasteful number, since it uses less digits than its factorization.

2542541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150129 (or 150116 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 2542541540 is about 50423.6208537229. The cubic root of 2542541540 is about 1364.8639168053.

Adding to 2542541540 its reverse (451452452), we get a palindrome (2993993992).

The spelling of 2542541540 in words is "two billion, five hundred forty-two million, five hundred forty-one thousand, five hundred forty".