2546097288 has 64 divisors (see below), whose sum is σ = 7298104320. Its totient is φ = 725102400.

The previous prime is 2546097283. The next prime is 2546097289. The reversal of 2546097288 is 8827906452.

It is a super-2 number, since 2×2546097288² = 12965222799921909888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2546097288.

It is not an unprimeable number, because it can be changed into a prime (2546097283) 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, 27883 + ... + 76613.

It is an arithmetic number, because the mean of its divisors is an integer number (114032880).

Almost surely, 2^2546097288 is an apocalyptic number.

2546097288 is a gapful number since it is divisible by the number (28) 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 2546097288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649052160).

2546097288 is an abundant number, since it is smaller than the sum of its proper divisors (4752007032).

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

2546097288 is a wasteful number, since it uses less digits than its factorization.

2546097288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49058 (or 49054 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2546097288 is about 50458.8672881189. The cubic root of 2546097288 is about 1365.4998751513.

The spelling of 2546097288 in words is "two billion, five hundred forty-six million, ninety-seven thousand, two hundred eighty-eight".