2581046416 has 45 divisors (see below), whose sum is σ = 5420591211. Its totient is φ = 1190032896.

The previous prime is 2581046387. The next prime is 2581046423. The reversal of 2581046416 is 6146401852.

The square root of 2581046416 is 50804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48944016 + 2532102400 = 6996^2 + 50320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2641320 + ... + 2642296.

Almost surely, 2^2581046416 is an apocalyptic number.

2581046416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2581046416 is the 50804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581046416

2581046416 is an abundant number, since it is smaller than the sum of its proper divisors (2839544795).

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

2581046416 is an frugal number, since it uses more digits than its factorization.

2581046416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 2581046416 is about 1371.7193707334.

The spelling of 2581046416 in words is "two billion, five hundred eighty-one million, forty-six thousand, four hundred sixteen".