2562348628 has 48 divisors (see below), whose sum is σ = 5256720000. Its totient is φ = 1069931520.

The previous prime is 2562348623. The next prime is 2562348661. The reversal of 2562348628 is 8268432652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562348623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708623 + ... + 1710121.

It is an arithmetic number, because the mean of its divisors is an integer number (109515000).

Almost surely, 2^2562348628 is an apocalyptic number.

2562348628 is a gapful number since it is divisible by the number (28) 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 2562348628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628360000).

2562348628 is an abundant number, since it is smaller than the sum of its proper divisors (2694371372).

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

2562348628 is a wasteful number, since it uses less digits than its factorization.

2562348628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 2562348628 is about 50619.6466601655. The cubic root of 2562348628 is about 1368.3989729504.

The spelling of 2562348628 in words is "two billion, five hundred sixty-two million, three hundred forty-eight thousand, six hundred twenty-eight".