2581824240 has 160 divisors (see below), whose sum is σ = 8911929600. Its totient is φ = 687018240.

The previous prime is 2581824239. The next prime is 2581824277. The reversal of 2581824240 is 424281852.

2581824240 is a `hidden beast` number, since 2 + 58 + 182 + 424 + 0 = 666.

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 = 2581824195 and 2581824204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336075 + ... + 1338005.

It is an arithmetic number, because the mean of its divisors is an integer number (55699560).

Almost surely, 2^2581824240 is an apocalyptic number.

2581824240 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 2581824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455964800).

2581824240 is an abundant number, since it is smaller than the sum of its proper divisors (6330105360).

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

2581824240 is a wasteful number, since it uses less digits than its factorization.

2581824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2581824240 is about 50811.6545686125. The cubic root of 2581824240 is about 1371.8571506508.

The spelling of 2581824240 in words is "two billion, five hundred eighty-one million, eight hundred twenty-four thousand, two hundred forty".