2546565120 has 384 divisors, whose sum is σ = 9691840080. Its totient is φ = 613416960.

The previous prime is 2546565113. The next prime is 2546565121. The reversal of 2546565120 is 215656452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2546565120² = 12969987820801228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546565121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220082 + ... + 16220238.

Almost surely, 2^2546565120 is an apocalyptic number.

2546565120 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 2546565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845920040).

2546565120 is an abundant number, since it is smaller than the sum of its proper divisors (7145274960).

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

2546565120 is a wasteful number, since it uses less digits than its factorization.

2546565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2546565120 is about 50463.5028510705. The cubic root of 2546565120 is about 1365.5835045053.

The spelling of 2546565120 in words is "two billion, five hundred forty-six million, five hundred sixty-five thousand, one hundred twenty".