2542114016 has 48 divisors (see below), whose sum is σ = 5575651200. Its totient is φ = 1132819968.

The previous prime is 2542114009. The next prime is 2542114037. The reversal of 2542114016 is 6104112452.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93296 + ... + 117423.

It is an arithmetic number, because the mean of its divisors is an integer number (116159400).

Almost surely, 2^2542114016 is an apocalyptic number.

2542114016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2542114016 is an abundant number, since it is smaller than the sum of its proper divisors (3033537184).

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

2542114016 is a wasteful number, since it uses less digits than its factorization.

2542114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210771 (or 210763 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2542114016 is about 50419.3813528092. The cubic root of 2542114016 is about 1364.7874126748.

Adding to 2542114016 its reverse (6104112452), we get a palindrome (8646226468).

The spelling of 2542114016 in words is "two billion, five hundred forty-two million, one hundred fourteen thousand, sixteen".