2581681700 has 72 divisors (see below), whose sum is σ = 6043857960. Its totient is φ = 951552000.

The previous prime is 2581681699. The next prime is 2581681747. The reversal of 2581681700 is 71861852.

It can be written as a sum of positive squares in 12 ways, for example, as 1660073536 + 921608164 = 40744^2 + 30358^2 .

It is a super-2 number, since 2×2581681700² = 13330160800229780000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920300 + ... + 923100.

Almost surely, 2^2581681700 is an apocalyptic number.

2581681700 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 2581681700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021928980).

2581681700 is an abundant number, since it is smaller than the sum of its proper divisors (3462176260).

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

2581681700 is a wasteful number, since it uses less digits than its factorization.

2581681700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 2581681700 is about 50810.2519182891. The cubic root of 2581681700 is about 1371.8319038874.

The spelling of 2581681700 in words is "two billion, five hundred eighty-one million, six hundred eighty-one thousand, seven hundred".