2628107742 has 128 divisors (see below), whose sum is σ = 6131220480. Its totient is φ = 744670080.

The previous prime is 2628107731. The next prime is 2628107753. The reversal of 2628107742 is 2477018262.

It is an interprime number because it is at equal distance from previous prime (2628107731) and next prime (2628107753).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2628107742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5986359 + ... + 5986797.

It is an arithmetic number, because the mean of its divisors is an integer number (47900160).

Almost surely, 2^2628107742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628107742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065610240).

2628107742 is an abundant number, since it is smaller than the sum of its proper divisors (3503112738).

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

2628107742 is a wasteful number, since it uses less digits than its factorization.

2628107742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2628107742 is about 51265.0733150749. The cubic root of 2628107742 is about 1380.0062560103.

The spelling of 2628107742 in words is "two billion, six hundred twenty-eight million, one hundred seven thousand, seven hundred forty-two".