2787998400 has 336 divisors, whose sum is σ = 11089111680. Its totient is φ = 675763200.

The previous prime is 2787998387. The next prime is 2787998413. The reversal of 2787998400 is 48997872.

It is an interprime number because it is at equal distance from previous prime (2787998387) and next prime (2787998413).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472267 + ... + 478133.

Almost surely, 2^2787998400 is an apocalyptic number.

2787998400 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 2787998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544555840).

2787998400 is an abundant number, since it is smaller than the sum of its proper divisors (8301113280).

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

2787998400 is a wasteful number, since it uses less digits than its factorization.

2787998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2787998400 is about 52801.4999786938. The cubic root of 2787998400 is about 1407.4430799344.

The spelling of 2787998400 in words is "two billion, seven hundred eighty-seven million, nine hundred ninety-eight thousand, four hundred".