2506354160 has 80 divisors (see below), whose sum is σ = 6101234496. Its totient is φ = 955705344.

The previous prime is 2506354159. The next prime is 2506354171. The reversal of 2506354160 is 614536052.

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

It is a super-3 number, since 3×2506354160³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581132 + ... + 585428.

Almost surely, 2^2506354160 is an apocalyptic number.

2506354160 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 2506354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050617248).

2506354160 is an abundant number, since it is smaller than the sum of its proper divisors (3594880336).

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

2506354160 is a wasteful number, since it uses less digits than its factorization.

2506354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2506354160 is about 50063.5012758796. The cubic root of 2506354160 is about 1358.3576917441.

The spelling of 2506354160 in words is "two billion, five hundred six million, three hundred fifty-four thousand, one hundred sixty".