2569748480 has 240 divisors, whose sum is σ = 7046215680. Its totient is φ = 891813888.

The previous prime is 2569748479. The next prime is 2569748507. The reversal of 2569748480 is 848479652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20234177 + ... + 20234303.

It is an arithmetic number, because the mean of its divisors is an integer number (29359232).

Almost surely, 2^2569748480 is an apocalyptic number.

2569748480 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 2569748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523107840).

2569748480 is an abundant number, since it is smaller than the sum of its proper divisors (4476467200).

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

2569748480 is a wasteful number, since it uses less digits than its factorization.

2569748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The square root of 2569748480 is about 50692.6866520211. The cubic root of 2569748480 is about 1369.7149814668.

The spelling of 2569748480 in words is "two billion, five hundred sixty-nine million, seven hundred forty-eight thousand, four hundred eighty".