2663016400 has 90 divisors (see below), whose sum is σ = 7032526886. Its totient is φ = 968352000.

The previous prime is 2663016373. The next prime is 2663016401. The reversal of 2663016400 is 46103662.

It can be written as a sum of positive squares in 3 ways, for example, as 48944016 + 2614072384 = 6996^2 + 51128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663016401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20890 + ... + 75910.

Almost surely, 2^2663016400 is an apocalyptic number.

2663016400 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 2663016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516263443).

2663016400 is an abundant number, since it is smaller than the sum of its proper divisors (4369510486).

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

2663016400 is a wasteful number, since it uses less digits than its factorization.

2663016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55061 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2663016400 is about 51604.4222911176. The cubic root of 2663016400 is about 1386.0895213866.

The spelling of 2663016400 in words is "two billion, six hundred sixty-three million, sixteen thousand, four hundred".