2764768500 has 288 divisors, whose sum is σ = 9482473728. Its totient is φ = 674092800.

The previous prime is 2764768483. The next prime is 2764768507. The reversal of 2764768500 is 58674672.

2764768500 is a `hidden beast` number, since 2 + 76 + 4 + 76 + 8 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764768507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9769359 + ... + 9769641.

It is an arithmetic number, because the mean of its divisors is an integer number (32925256).

Almost surely, 2^2764768500 is an apocalyptic number.

2764768500 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 2764768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741236864).

2764768500 is an abundant number, since it is smaller than the sum of its proper divisors (6717705228).

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

2764768500 is a wasteful number, since it uses less digits than its factorization.

2764768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2764768500 is about 52581.0659838691. The cubic root of 2764768500 is about 1403.5231840813.

The spelling of 2764768500 in words is "two billion, seven hundred sixty-four million, seven hundred sixty-eight thousand, five hundred".