2542139600000 has 1152 divisors, whose sum is σ = 8660488818240. Its totient is φ = 730598400000.

The previous prime is 2542139599973. The next prime is 2542139600009. The reversal of 2542139600000 is 69312452.

It is a happy number.

2542139600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2542139600000.

It is not an unprimeable number, because it can be changed into a prime (2542139600009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2802799547 + ... + 2802800453.

Almost surely, 2^{2542139600000} is an apocalyptic number.

2542139600000 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 2542139600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330244409120).

2542139600000 is an abundant number, since it is smaller than the sum of its proper divisors (6118349218240).

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

2542139600000 is an equidigital number, since it uses as much as digits as its factorization.

2542139600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 2542139600000 in words is "two trillion, five hundred forty-two billion, one hundred thirty-nine million, six hundred thousand".