2628149004 has 144 divisors (see below), whose sum is σ = 7742821632. Its totient is φ = 773416512.

The previous prime is 2628149003. The next prime is 2628149009. The reversal of 2628149004 is 4009418262.

2628149004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2628149004.

It is not an unprimeable number, because it can be changed into a prime (2628149003) 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, 286107 + ... + 295149.

Almost surely, 2^2628149004 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 2628149004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871410816).

2628149004 is an abundant number, since it is smaller than the sum of its proper divisors (5114672628).

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

2628149004 is a wasteful number, since it uses less digits than its factorization.

2628149004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9098 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2628149004 is about 51265.4757512305. The cubic root of 2628149004 is about 1380.0134781292.

The spelling of 2628149004 in words is "two billion, six hundred twenty-eight million, one hundred forty-nine thousand, four".