2799249408 has 384 divisors, whose sum is σ = 9057484800. Its totient is φ = 851558400.

The previous prime is 2799249403. The next prime is 2799249413. The reversal of 2799249408 is 8049429972.

It is an interprime number because it is at equal distance from previous prime (2799249403) and next prime (2799249413).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (2799249403) 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 31 ways as a sum of consecutive naturals, for example, 39426013 + ... + 39426083.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^2799249408 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 2799249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2799249408 is an abundant number, since it is smaller than the sum of its proper divisors (6258235392).

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

2799249408 is a wasteful number, since it uses less digits than its factorization.

2799249408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2799249408 is about 52907.9333181707. The cubic root of 2799249408 is about 1409.3337912039. Note that the first 3 decimals are identical.

The spelling of 2799249408 in words is "two billion, seven hundred ninety-nine million, two hundred forty-nine thousand, four hundred eight".