2755368000 has 1008 divisors, whose sum is σ = 12684117888. Its totient is φ = 564480000.

The previous prime is 2755367983. The next prime is 2755368017. The reversal of 2755368000 is 8635572.

2755368000 is a `hidden beast` number, since 27 + 553 + 6 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2755367983) and next prime (2755368017).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38807965 + ... + 38808035.

Almost surely, 2^2755368000 is an apocalyptic number.

2755368000 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 2755368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342058944).

2755368000 is an abundant number, since it is smaller than the sum of its proper divisors (9928749888).

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

2755368000 is a wasteful number, since it uses less digits than its factorization.

2755368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2755368000 is about 52491.5993278925. The cubic root of 2755368000 is about 1401.9306696200.

The spelling of 2755368000 in words is "two billion, seven hundred fifty-five million, three hundred sixty-eight thousand".