2251542105540 has 144 divisors (see below), whose sum is σ = 8405757255168. Its totient is φ = 475050638592.

The previous prime is 2251542105517. The next prime is 2251542105541. The reversal of 2251542105540 is 455012451522.

2251542105540 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 5 + 4 + 2 + 105 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2251542105495 and 2251542105504.

It is not an unprimeable number, because it can be changed into a prime (2251542105541) 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, 68712012 + ... + 68744771.

It is an arithmetic number, because the mean of its divisors is an integer number (58373314272).

Almost surely, 2^{2251542105540} is an apocalyptic number.

2251542105540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251542105540 is an abundant number, since it is smaller than the sum of its proper divisors (6154215149628).

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

2251542105540 is a wasteful number, since it uses less digits than its factorization.

2251542105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137456818 (or 137456813 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 2251542105540 in words is "two trillion, two hundred fifty-one billion, five hundred forty-two million, one hundred five thousand, five hundred forty".