2582461440 has 440 divisors, whose sum is σ = 9986739840. Its totient is φ = 634355712.

The previous prime is 2582461439. The next prime is 2582461451. The reversal of 2582461440 is 441642852.

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

It is a junction number, because it is equal to n+sod(n) for n = 2582461395 and 2582461404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391121 + ... + 5391599.

It is an arithmetic number, because the mean of its divisors is an integer number (22697136).

Almost surely, 2^2582461440 is an apocalyptic number.

2582461440 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 2582461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993369920).

2582461440 is an abundant number, since it is smaller than the sum of its proper divisors (7404278400).

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

2582461440 is a wasteful number, since it uses less digits than its factorization.

2582461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2582461440 is about 50817.9243968110. The cubic root of 2582461440 is about 1371.9700005057.

The spelling of 2582461440 in words is "two billion, five hundred eighty-two million, four hundred sixty-one thousand, four hundred forty".