2546245120 has 80 divisors (see below), whose sum is σ = 6117720048. Its totient is φ = 1016381440.

The previous prime is 2546245087. The next prime is 2546245187. The reversal of 2546245120 is 215426452.

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

It is a super-2 number, since 2×2546245120² = 12966728422247628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947507 + ... + 1948813.

Almost surely, 2^2546245120 is an apocalyptic number.

2546245120 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 2546245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058860024).

2546245120 is an abundant number, since it is smaller than the sum of its proper divisors (3571474928).

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

2546245120 is an equidigital number, since it uses as much as digits as its factorization.

2546245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2546245120 is about 50460.3321431796. The cubic root of 2546245120 is about 1365.5263026137.

The spelling of 2546245120 in words is "two billion, five hundred forty-six million, two hundred forty-five thousand, one hundred twenty".