2577838780 has 96 divisors (see below), whose sum is σ = 6031807488. Its totient is φ = 917568000.

The previous prime is 2577838771. The next prime is 2577838787. The reversal of 2577838780 is 878387752.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2577838787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424529 + ... + 2425591.

It is an arithmetic number, because the mean of its divisors is an integer number (62831328).

Almost surely, 2^2577838780 is an apocalyptic number.

2577838780 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 2577838780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015903744).

2577838780 is an abundant number, since it is smaller than the sum of its proper divisors (3453968708).

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

2577838780 is a wasteful number, since it uses less digits than its factorization.

2577838780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 55.

The square root of 2577838780 is about 50772.4214510200. The cubic root of 2577838780 is about 1371.1508932377.

The spelling of 2577838780 in words is "two billion, five hundred seventy-seven million, eight hundred thirty-eight thousand, seven hundred eighty".