2798410000 has 125 divisors (see below), whose sum is σ = 7083194371. Its totient is φ = 1070696000.

The previous prime is 2798409983. The next prime is 2798410051. The reversal of 2798410000 is 148972.

The square root of 2798410000 is 52900.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 219395344 + 2579014656 = 14812^2 + 50784^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is a Duffinian number.

It is an unprimeable number.

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 24 ways as a sum of consecutive naturals, for example, 121669989 + ... + 121670011.

Almost surely, 2^2798410000 is an apocalyptic number.

2798410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2798410000 is the 52900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798410000

2798410000 is an abundant number, since it is smaller than the sum of its proper divisors (4284784371).

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

2798410000 is an frugal number, since it uses more digits than its factorization.

2798410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 2798410000 is about 1409.1929053025.

Adding to 2798410000 its reverse (148972), we get a palindrome (2798558972).

The spelling of 2798410000 in words is "two billion, seven hundred ninety-eight million, four hundred ten thousand".