2577245220 has 288 divisors, whose sum is σ = 9425445120. Its totient is φ = 562298880.

The previous prime is 2577245207. The next prime is 2577245221. The reversal of 2577245220 is 225427752.

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

It is not an unprimeable number, because it can be changed into a prime (2577245221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772516 + ... + 775844.

It is an arithmetic number, because the mean of its divisors is an integer number (32727240).

Almost surely, 2^2577245220 is an apocalyptic number.

2577245220 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 2577245220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712722560).

2577245220 is an abundant number, since it is smaller than the sum of its proper divisors (6848199900).

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

2577245220 is a wasteful number, since it uses less digits than its factorization.

2577245220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2577245220 is about 50766.5758151956. The cubic root of 2577245220 is about 1371.0456470907.

The spelling of 2577245220 in words is "two billion, five hundred seventy-seven million, two hundred forty-five thousand, two hundred twenty".