2792951253 has 32 divisors (see below), whose sum is σ = 4275237120. Its totient is φ = 1800688320.

The previous prime is 2792951243. The next prime is 2792951281. The reversal of 2792951253 is 3521592972.

It is not a de Polignac number, because 2792951253 - 2⁵ = 2792951221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2792951199 and 2792951208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792951243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158463 + ... + 175203.

It is an arithmetic number, because the mean of its divisors is an integer number (133601160).

Almost surely, 2^2792951253 is an apocalyptic number.

It is an amenable number.

2792951253 is a deficient number, since it is larger than the sum of its proper divisors (1482285867).

2792951253 is a wasteful number, since it uses less digits than its factorization.

2792951253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16948 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 2792951253 is about 52848.3798521771. The cubic root of 2792951253 is about 1408.2760233657.

The spelling of 2792951253 in words is "two billion, seven hundred ninety-two million, nine hundred fifty-one thousand, two hundred fifty-three".