2542110451920 has 240 divisors, whose sum is σ = 9481521804480. Its totient is φ = 625750175232.

The previous prime is 2542110451889. The next prime is 2542110451927. The reversal of 2542110451920 is 291540112452.

2542110451920 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 110 + 4 + 519 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542110451927) 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, 3116922 + ... + 3847001.

It is an arithmetic number, because the mean of its divisors is an integer number (39506340852).

Almost surely, 2^{2542110451920} is an apocalyptic number.

2542110451920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542110451920 is an abundant number, since it is smaller than the sum of its proper divisors (6939411352560).

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

2542110451920 is a wasteful number, since it uses less digits than its factorization.

2542110451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963971 (or 6963946 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2542110451920 in words is "two trillion, five hundred forty-two billion, one hundred ten million, four hundred fifty-one thousand, nine hundred twenty".