2752503640 has 64 divisors (see below), whose sum is σ = 6417285120. Its totient is φ = 1061424000.

The previous prime is 2752503601. The next prime is 2752503703. The reversal of 2752503640 is 463052572.

It is a junction number, because it is equal to n+sod(n) for n = 2752503596 and 2752503605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331945 + ... + 340135.

It is an arithmetic number, because the mean of its divisors is an integer number (100270080).

Almost surely, 2^2752503640 is an apocalyptic number.

2752503640 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 2752503640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208642560).

2752503640 is an abundant number, since it is smaller than the sum of its proper divisors (3664781480).

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

2752503640 is a wasteful number, since it uses less digits than its factorization.

2752503640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 2752503640 is about 52464.3082485608. The cubic root of 2752503640 is about 1401.4447059267. Note that the first 3 decimals are identical.

The spelling of 2752503640 in words is "two billion, seven hundred fifty-two million, five hundred three thousand, six hundred forty".