2797951248 has 300 divisors, whose sum is σ = 8866463760. Its totient is φ = 849325824.

The previous prime is 2797951243. The next prime is 2797951259. The reversal of 2797951248 is 8421597972.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2540160) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2797951194 and 2797951203.

It is not an unprimeable number, because it can be changed into a prime (2797951241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33710215 + ... + 33710297.

Almost surely, 2^2797951248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797951248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433231880).

2797951248 is an abundant number, since it is smaller than the sum of its proper divisors (6068512512).

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

2797951248 is a wasteful number, since it uses less digits than its factorization.

2797951248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 2797951248 is about 52895.6637920350. The cubic root of 2797951248 is about 1409.1158966449.

The spelling of 2797951248 in words is "two billion, seven hundred ninety-seven million, nine hundred fifty-one thousand, two hundred forty-eight".