2541596001 has 16 divisors (see below), whose sum is σ = 3885135744. Its totient is φ = 1447755264.

The previous prime is 2541595981. The next prime is 2541596003. The reversal of 2541596001 is 1006951452.

It is not a de Polignac number, because 2541596001 - 2¹³ = 2541587809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2541596003) 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 15 ways as a sum of consecutive naturals, for example, 184240 + ... + 197553.

It is an arithmetic number, because the mean of its divisors is an integer number (242820984).

Almost surely, 2^2541596001 is an apocalyptic number.

2541596001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2541596001 is a deficient number, since it is larger than the sum of its proper divisors (1343539743).

2541596001 is a wasteful number, since it uses less digits than its factorization.

2541596001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382120.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2541596001 is about 50414.2440288457. The cubic root of 2541596001 is about 1364.6947039589.

The spelling of 2541596001 in words is "two billion, five hundred forty-one million, five hundred ninety-six thousand, one".