2583724051120 has 160 divisors (see below), whose sum is σ = 6317591005440. Its totient is φ = 981456860160.

The previous prime is 2583724051081. The next prime is 2583724051133. The reversal of 2583724051120 is 211504273852.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 194859051 + ... + 194872309.

It is an arithmetic number, because the mean of its divisors is an integer number (39484943784).

Almost surely, 2^{2583724051120} is an apocalyptic number.

2583724051120 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 2583724051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158795502720).

2583724051120 is an abundant number, since it is smaller than the sum of its proper divisors (3733866954320).

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

2583724051120 is a wasteful number, since it uses less digits than its factorization.

2583724051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 2583724051120 in words is "two trillion, five hundred eighty-three billion, seven hundred twenty-four million, fifty-one thousand, one hundred twenty".