2628421440 has 224 divisors, whose sum is σ = 8753222016. Its totient is φ = 667484160.

The previous prime is 2628421427. The next prime is 2628421447. The reversal of 2628421440 is 441248262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628421447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1691704 + ... + 1693256.

It is an arithmetic number, because the mean of its divisors is an integer number (39076884).

Almost surely, 2^2628421440 is an apocalyptic number.

2628421440 is a gapful number since it is divisible by the number (20) 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 2628421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376611008).

2628421440 is an abundant number, since it is smaller than the sum of its proper divisors (6124800576).

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

2628421440 is a wasteful number, since it uses less digits than its factorization.

2628421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2628421440 is about 51268.1327922131. The cubic root of 2628421440 is about 1380.0611609104.

The spelling of 2628421440 in words is "two billion, six hundred twenty-eight million, four hundred twenty-one thousand, four hundred forty".