2642675112 has 256 divisors, whose sum is σ = 9469440000. Its totient is φ = 662618880.

The previous prime is 2642675111. The next prime is 2642675149. The reversal of 2642675112 is 2115762462.

It is a happy number.

2642675112 is a `hidden beast` number, since 2 + 642 + 6 + 7 + 5 + 1 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2642675111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479589 + ... + 485067.

It is an arithmetic number, because the mean of its divisors is an integer number (36990000).

Almost surely, 2^2642675112 is an apocalyptic number.

2642675112 is a gapful number since it is divisible by the number (22) 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 2642675112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734720000).

2642675112 is an abundant number, since it is smaller than the sum of its proper divisors (6826764888).

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

2642675112 is a wasteful number, since it uses less digits than its factorization.

2642675112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5531 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2642675112 is about 51406.9558717495. The cubic root of 2642675112 is about 1382.5513105379.

The spelling of 2642675112 in words is "two billion, six hundred forty-two million, six hundred seventy-five thousand, one hundred twelve".