2541695961 has 24 divisors (see below), whose sum is σ = 3895331520. Its totient is φ = 1444066272.

The previous prime is 2541695953. The next prime is 2541695971. The reversal of 2541695961 is 1695961452.

It is not a de Polignac number, because 2541695961 - 2³ = 2541695953 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2541695961.

It is not an unprimeable number, because it can be changed into a prime (2541695971) 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, 3495780 + ... + 3496506.

It is an arithmetic number, because the mean of its divisors is an integer number (162305480).

Almost surely, 2^2541695961 is an apocalyptic number.

2541695961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2541695961 is a deficient number, since it is larger than the sum of its proper divisors (1353635559).

2541695961 is an frugal number, since it uses more digits than its factorization.

2541695961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 966 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 2541695961 is about 50415.2354055795. The cubic root of 2541695961 is about 1364.7125946981.

The spelling of 2541695961 in words is "two billion, five hundred forty-one million, six hundred ninety-five thousand, nine hundred sixty-one".