2582773140 has 96 divisors (see below), whose sum is σ = 7410622464. Its totient is φ = 671806080.

The previous prime is 2582773133. The next prime is 2582773217. The reversal of 2582773140 is 413772852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932037 + ... + 934803.

It is an arithmetic number, because the mean of its divisors is an integer number (77193984).

Almost surely, 2^2582773140 is an apocalyptic number.

2582773140 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 2582773140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705311232).

2582773140 is an abundant number, since it is smaller than the sum of its proper divisors (4827849324).

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

2582773140 is a wasteful number, since it uses less digits than its factorization.

2582773140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2582773140 is about 50820.9911355534. The cubic root of 2582773140 is about 1372.0251966632.

The spelling of 2582773140 in words is "two billion, five hundred eighty-two million, seven hundred seventy-three thousand, one hundred forty".