2542640963192 has 256 divisors, whose sum is σ = 5568262963200. Its totient is φ = 1077882624000.

The previous prime is 2542640963173. The next prime is 2542640963251. The reversal of 2542640963192 is 2913690462452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1637243888 + ... + 1637245440.

It is an arithmetic number, because the mean of its divisors is an integer number (21751027200).

Almost surely, 2^{2542640963192} is an apocalyptic number.

2542640963192 is a gapful number since it is divisible by the number (22) 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 2542640963192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784131481600).

2542640963192 is an abundant number, since it is smaller than the sum of its proper divisors (3025622000008).

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

2542640963192 is a wasteful number, since it uses less digits than its factorization.

2542640963192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 2542640963192 in words is "two trillion, five hundred forty-two billion, six hundred forty million, nine hundred sixty-three thousand, one hundred ninety-two".