2752851024 has 480 divisors, whose sum is σ = 10306483200. Its totient is φ = 664381440.

The previous prime is 2752851001. The next prime is 2752851029. The reversal of 2752851024 is 4201582572.

It is a happy number.

2752851024 is a `hidden beast` number, since 27 + 528 + 5 + 102 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2752851024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752851029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15378967 + ... + 15379145.

It is an arithmetic number, because the mean of its divisors is an integer number (21471840).

Almost surely, 2^2752851024 is an apocalyptic number.

2752851024 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 2752851024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153241600).

2752851024 is an abundant number, since it is smaller than the sum of its proper divisors (7553632176).

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

2752851024 is a wasteful number, since it uses less digits than its factorization.

2752851024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2752851024 is about 52467.6188138932. The cubic root of 2752851024 is about 1401.5036606157.

It can be divided in two parts, 2752 and 851024, that added together give a square (853776 = 924²).

The spelling of 2752851024 in words is "two billion, seven hundred fifty-two million, eight hundred fifty-one thousand, twenty-four".