2581680 has 80 divisors (see below), whose sum is σ = 8285184. Its totient is φ = 664320.

The previous prime is 2581673. The next prime is 2581687. The reversal of 2581680 is 861852.

2581680 = T₂₁₃ + T₂₁₄ + ... + T₂₉₂.

It is an interprime number because it is at equal distance from previous prime (2581673) and next prime (2581687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7267 + ... + 7613.

2^2581680 is an apocalyptic number.

2581680 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 2581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142592).

2581680 is an abundant number, since it is smaller than the sum of its proper divisors (5703504).

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

2581680 is a wasteful number, since it uses less digits than its factorization.

2581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2581680 is about 1606.7607164727. The cubic root of 2581680 is about 137.1831602777.

The spelling of 2581680 in words is "two million, five hundred eighty-one thousand, six hundred eighty".