2542522151100 has 144 divisors (see below), whose sum is σ = 7392186307296. Its totient is φ = 674709504000.

The previous prime is 2542522151087. The next prime is 2542522151101. The reversal of 2542522151100 is 11512252452.

2542522151100 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542522151101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81787560 + ... + 81818640.

It is an arithmetic number, because the mean of its divisors is an integer number (51334627134).

Almost surely, 2^{2542522151100} is an apocalyptic number.

2542522151100 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 2542522151100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696093153648).

2542522151100 is an abundant number, since it is smaller than the sum of its proper divisors (4849664156196).

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

2542522151100 is a wasteful number, since it uses less digits than its factorization.

2542522151100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32416 (or 32409 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 2542522151100 in words is "two trillion, five hundred forty-two billion, five hundred twenty-two million, one hundred fifty-one thousand, one hundred".