2541746320 has 40 divisors (see below), whose sum is σ = 5921496000. Its totient is φ = 1014645120.

The previous prime is 2541746293. The next prime is 2541746321. The reversal of 2541746320 is 236471452.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2541746321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8085 + ... + 71755.

It is an arithmetic number, because the mean of its divisors is an integer number (148037400).

Almost surely, 2^2541746320 is an apocalyptic number.

2541746320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541746320 is an abundant number, since it is smaller than the sum of its proper divisors (3379749680).

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

2541746320 is a wasteful number, since it uses less digits than its factorization.

2541746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64183 (or 64177 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2541746320 is about 50415.7348453833. The cubic root of 2541746320 is about 1364.7216077231.

The spelling of 2541746320 in words is "two billion, five hundred forty-one million, seven hundred forty-six thousand, three hundred twenty".