2511006160 has 80 divisors (see below), whose sum is σ = 6305002704. Its totient is φ = 924512256.

The previous prime is 2511006149. The next prime is 2511006167. The reversal of 2511006160 is 616001152.

2511006160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 409333824 + 2101672336 = 20232^2 + 45844^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511006167) 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, 384684 + ... + 391156.

Almost surely, 2^2511006160 is an apocalyptic number.

2511006160 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 2511006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152501352).

2511006160 is an abundant number, since it is smaller than the sum of its proper divisors (3793996544).

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

2511006160 is a wasteful number, since it uses less digits than its factorization.

2511006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 2511006160 is about 50109.9407303581. The cubic root of 2511006160 is about 1359.1975802871.

It can be divided in two parts, 25110061 and 60, that added together give a square (25110121 = 5011²).

The spelling of 2511006160 in words is "two billion, five hundred eleven million, six thousand, one hundred sixty".