2628690750 has 288 divisors, whose sum is σ = 8381172384. Its totient is φ = 592704000.

The previous prime is 2628690737. The next prime is 2628690781. The reversal of 2628690750 is 570968262.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2628690696 and 2628690705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12458145 + ... + 12458355.

It is an arithmetic number, because the mean of its divisors is an integer number (29101293).

Almost surely, 2^2628690750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628690750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190586192).

2628690750 is an abundant number, since it is smaller than the sum of its proper divisors (5752481634).

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

2628690750 is a wasteful number, since it uses less digits than its factorization.

2628690750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2628690750 is about 51270.7592102945. The cubic root of 2628690750 is about 1380.1082933290.

The spelling of 2628690750 in words is "two billion, six hundred twenty-eight million, six hundred ninety thousand, seven hundred fifty".