2768774400 has 810 divisors, whose sum is σ = 12018091470. Its totient is φ = 627056640.

The previous prime is 2768774387. The next prime is 2768774401. The reversal of 2768774400 is 44778672.

It can be written as a sum of positive squares in 3 ways, for example, as 329204736 + 2439569664 = 18144^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×2768774400² = 15332223356190720000, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768774401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401546 + ... + 25401654.

Almost surely, 2^2768774400 is an apocalyptic number.

2768774400 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 2768774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009045735).

2768774400 is an abundant number, since it is smaller than the sum of its proper divisors (9249317070).

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

2768774400 is a wasteful number, since it uses less digits than its factorization.

2768774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2768774400 is about 52619.1448049092. The cubic root of 2768774400 is about 1404.2007164280.

The spelling of 2768774400 in words is "two billion, seven hundred sixty-eight million, seven hundred seventy-four thousand, four hundred".