2542845312 has 448 divisors, whose sum is σ = 9231040800. Its totient is φ = 680804352.

The previous prime is 2542845311. The next prime is 2542845359. The reversal of 2542845312 is 2135482452.

2542845312 is a `hidden beast` number, since 2 + 5 + 42 + 84 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (2542845311) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11104014 + ... + 11104242.

Almost surely, 2^2542845312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615520400).

2542845312 is an abundant number, since it is smaller than the sum of its proper divisors (6688195488).

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

2542845312 is an equidigital number, since it uses as much as digits as its factorization.

2542845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2542845312 is about 50426.6329631476. The cubic root of 2542845312 is about 1364.9182706771.

The spelling of 2542845312 in words is "two billion, five hundred forty-two million, eight hundred forty-five thousand, three hundred twelve".