2581619040 has 960 divisors, whose sum is σ = 12294374400. Its totient is φ = 492687360.

The previous prime is 2581619039. The next prime is 2581619057. The reversal of 2581619040 is 409161852.

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 = 2581618986 and 2581619004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972861 + ... + 12973059.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2^2581619040 is an apocalyptic number.

2581619040 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 2581619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

2581619040 is an abundant number, since it is smaller than the sum of its proper divisors (9712755360).

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

2581619040 is a wasteful number, since it uses less digits than its factorization.

2581619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2581619040 is about 50809.6353067014. The cubic root of 2581619040 is about 1371.8208052197.

The spelling of 2581619040 in words is "two billion, five hundred eighty-one million, six hundred nineteen thousand, forty".