2766488400 has 180 divisors, whose sum is σ = 10339156828. Its totient is φ = 680970240.

The previous prime is 2766488399. The next prime is 2766488423. The reversal of 2766488400 is 48846672.

It can be written as a sum of positive squares in 6 ways, for example, as 1411344 + 2765077056 = 1188^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17244 + ... + 76356.

Almost surely, 2^2766488400 is an apocalyptic number.

2766488400 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 2766488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169578414).

2766488400 is an abundant number, since it is smaller than the sum of its proper divisors (7572668428).

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

2766488400 is a wasteful number, since it uses less digits than its factorization.

2766488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59150 (or 59136 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2766488400 is about 52597.4181875879. The cubic root of 2766488400 is about 1403.8141571047.

The spelling of 2766488400 in words is "two billion, seven hundred sixty-six million, four hundred eighty-eight thousand, four hundred".