2768302400 has 84 divisors (see below), whose sum is σ = 6882364188. Its totient is φ = 1095843840.

The previous prime is 2768302373. The next prime is 2768302417. The reversal of 2768302400 is 42038672.

It can be written as a sum of positive squares in 6 ways, for example, as 2383936 + 2765918464 = 1544^2 + 52592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146282 + ... + 164118.

It is an arithmetic number, because the mean of its divisors is an integer number (81932907).

Almost surely, 2^2768302400 is an apocalyptic number.

2768302400 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 2768302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441182094).

2768302400 is an abundant number, since it is smaller than the sum of its proper divisors (4114061788).

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

2768302400 is a wasteful number, since it uses less digits than its factorization.

2768302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17956 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2768302400 is about 52614.6595541585. The cubic root of 2768302400 is about 1404.1209193399.

The spelling of 2768302400 in words is "two billion, seven hundred sixty-eight million, three hundred two thousand, four hundred".