2754032064 has 448 divisors, whose sum is σ = 9363456000. Its totient is φ = 711244800.

The previous prime is 2754032053. The next prime is 2754032081. The reversal of 2754032064 is 4602304572.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38789149 + ... + 38789219.

Almost surely, 2^2754032064 is an apocalyptic number.

2754032064 is a gapful number since it is divisible by the number (24) 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 2754032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728000).

2754032064 is an abundant number, since it is smaller than the sum of its proper divisors (6609423936).

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

2754032064 is a wasteful number, since it uses less digits than its factorization.

2754032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2754032064 is about 52478.8725488648. The cubic root of 2754032064 is about 1401.7040583383.

The spelling of 2754032064 in words is "two billion, seven hundred fifty-four million, thirty-two thousand, sixty-four".