2798814720 has 480 divisors, whose sum is σ = 10341400608. Its totient is φ = 641728512.

The previous prime is 2798814713. The next prime is 2798814721. The reversal of 2798814720 is 274188972.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2798814720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798814721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28853712 + ... + 28853808.

Almost surely, 2^2798814720 is an apocalyptic number.

2798814720 is a gapful number since it is divisible by the number (20) 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 2798814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170700304).

2798814720 is an abundant number, since it is smaller than the sum of its proper divisors (7542585888).

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

2798814720 is a wasteful number, since it uses less digits than its factorization.

2798814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 2798814720 is about 52903.8251925133. The cubic root of 2798814720 is about 1409.2608368613.

The spelling of 2798814720 in words is "two billion, seven hundred ninety-eight million, eight hundred fourteen thousand, seven hundred twenty".