2781101968953 has 48 divisors (see below), whose sum is σ = 4860682810368. Its totient is φ = 1381913992800.

The previous prime is 2781101968921. The next prime is 2781101968969. The reversal of 2781101968953 is 3598691011872.

It is not a de Polignac number, because 2781101968953 - 2⁵ = 2781101968921 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2781101958953) 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 47 ways as a sum of consecutive naturals, for example, 23734843 + ... + 23851728.

It is an arithmetic number, because the mean of its divisors is an integer number (101264225216).

Almost surely, 2^{2781101968953} is an apocalyptic number.

2781101968953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2781101968953 is a deficient number, since it is larger than the sum of its proper divisors (2079580841415).

2781101968953 is a wasteful number, since it uses less digits than its factorization.

2781101968953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47586626 (or 47586615 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 2781101968953 in words is "two trillion, seven hundred eighty-one billion, one hundred one million, nine hundred sixty-eight thousand, nine hundred fifty-three".