2577428480 has 208 divisors, whose sum is σ = 7154871264. Its totient is φ = 880803840.

The previous prime is 2577428467. The next prime is 2577428509. The reversal of 2577428480 is 848247752.

It is a happy number.

It is a super-2 number, since 2×2577428480² = 13286275139030220800, which contains 22 as substring.

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, 3829424 + ... + 3830096.

Almost surely, 2^2577428480 is an apocalyptic number.

2577428480 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 2577428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577435632).

2577428480 is an abundant number, since it is smaller than the sum of its proper divisors (4577442784).

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

2577428480 is a wasteful number, since it uses less digits than its factorization.

2577428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The square root of 2577428480 is about 50768.3807108322. The cubic root of 2577428480 is about 1371.0781432703.

The spelling of 2577428480 in words is "two billion, five hundred seventy-seven million, four hundred twenty-eight thousand, four hundred eighty".