2752764480 has 448 divisors, whose sum is σ = 10192512000. Its totient is φ = 698720256.

The previous prime is 2752764463. The next prime is 2752764481. The reversal of 2752764480 is 844672572.

It is a happy number.

2752764480 is a `hidden beast` number, since 2 + 7 + 527 + 6 + 44 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2752764481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25254666 + ... + 25254774.

Almost surely, 2^2752764480 is an apocalyptic number.

2752764480 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 2752764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096256000).

2752764480 is an abundant number, since it is smaller than the sum of its proper divisors (7439747520).

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

2752764480 is a wasteful number, since it uses less digits than its factorization.

2752764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2752764480 is about 52466.7940701545. The cubic root of 2752764480 is about 1401.4889736599.

The spelling of 2752764480 in words is "two billion, seven hundred fifty-two million, seven hundred sixty-four thousand, four hundred eighty".