2795990400 has 960 divisors, whose sum is σ = 12488129280. Its totient is φ = 602173440.

The previous prime is 2795990339. The next prime is 2795990503. The reversal of 2795990400 is 40995972.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41731167 + ... + 41731233.

It is an arithmetic number, because the mean of its divisors is an integer number (13008468).

Almost surely, 2^2795990400 is an apocalyptic number.

2795990400 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 2795990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244064640).

2795990400 is an abundant number, since it is smaller than the sum of its proper divisors (9692138880).

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

2795990400 is a wasteful number, since it uses less digits than its factorization.

2795990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2795990400 is about 52877.1254891943. The cubic root of 2795990400 is about 1408.7866428970.

The spelling of 2795990400 in words is "two billion, seven hundred ninety-five million, nine hundred ninety thousand, four hundred".