2766251488 has 288 divisors, whose sum is σ = 7589363040. Its totient is φ = 981227520.

The previous prime is 2766251483. The next prime is 2766251503. The reversal of 2766251488 is 8841526672.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766251483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37893820 + ... + 37893892.

It is an arithmetic number, because the mean of its divisors is an integer number (26351955).

Almost surely, 2^2766251488 is an apocalyptic number.

2766251488 is a gapful number since it is divisible by the number (28) 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 2766251488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794681520).

2766251488 is an abundant number, since it is smaller than the sum of its proper divisors (4823111552).

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

2766251488 is a wasteful number, since it uses less digits than its factorization.

2766251488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 106 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 2766251488 is about 52595.1660136176. The cubic root of 2766251488 is about 1403.7740834487.

The spelling of 2766251488 in words is "two billion, seven hundred sixty-six million, two hundred fifty-one thousand, four hundred eighty-eight".