2581471620 has 432 divisors, whose sum is σ = 10071734400. Its totient is φ = 543449088.

The previous prime is 2581471603. The next prime is 2581471639. The reversal of 2581471620 is 261741852.

2581471620 is a `hidden beast` number, since 2 + 581 + 4 + 71 + 6 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5749156 + ... + 5749604.

It is an arithmetic number, because the mean of its divisors is an integer number (23314200).

Almost surely, 2^2581471620 is an apocalyptic number.

2581471620 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 2581471620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035867200).

2581471620 is an abundant number, since it is smaller than the sum of its proper divisors (7490262780).

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

2581471620 is a wasteful number, since it uses less digits than its factorization.

2581471620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2581471620 is about 50808.1845768967. The cubic root of 2581471620 is about 1371.7946927079.

The spelling of 2581471620 in words is "two billion, five hundred eighty-one million, four hundred seventy-one thousand, six hundred twenty".