2542542340 has 48 divisors (see below), whose sum is σ = 5780275200. Its totient is φ = 933851520.

The previous prime is 2542542293. The next prime is 2542542347. The reversal of 2542542340 is 432452452.

2542542340 = T₅₀₆₄ + T₅₀₆₅ + ... + T₅₂₅₄.

It is not an unprimeable number, because it can be changed into a prime (2542542347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24061 + ... + 75259.

It is an arithmetic number, because the mean of its divisors is an integer number (120422400).

Almost surely, 2^2542542340 is an apocalyptic number.

2542542340 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 2542542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890137600).

2542542340 is an abundant number, since it is smaller than the sum of its proper divisors (3237732860).

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

2542542340 is a wasteful number, since it uses less digits than its factorization.

2542542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51412 (or 51410 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 2542542340 is about 50423.6287865124. The cubic root of 2542542340 is about 1364.8640599549.

Adding to 2542542340 its reverse (432452452), we get a palindrome (2974994792).

The spelling of 2542542340 in words is "two billion, five hundred forty-two million, five hundred forty-two thousand, three hundred forty".