2798118972 has 96 divisors (see below), whose sum is σ = 7929062400. Its totient is φ = 846288000.

The previous prime is 2798118949. The next prime is 2798118977.

2798118972 is nontrivially palindromic in base 10.

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

Its product of digits (1016064) is a multiple of the sum of its prime divisors (4536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798118977) 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, 712029 + ... + 715947.

It is an arithmetic number, because the mean of its divisors is an integer number (82594400).

Almost surely, 2^2798118972 is an apocalyptic number.

2798118972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798118972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964531200).

2798118972 is an abundant number, since it is smaller than the sum of its proper divisors (5130943428).

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

2798118972 is a wasteful number, since it uses less digits than its factorization.

2798118972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4536 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 2798118972 is about 52897.2491912387. The cubic root of 2798118972 is about 1409.1440527028.

The spelling of 2798118972 in words is "two billion, seven hundred ninety-eight million, one hundred eighteen thousand, nine hundred seventy-two".