2752503072 has 96 divisors (see below), whose sum is σ = 7897103424. Its totient is φ = 832512000.

The previous prime is 2752503067. The next prime is 2752503097. The reversal of 2752503072 is 2703052572.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2752503072² = 15152546322738874368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632488 + ... + 636824.

It is an arithmetic number, because the mean of its divisors is an integer number (82261494).

Almost surely, 2^2752503072 is an apocalyptic number.

2752503072 is a gapful number since it is divisible by the number (22) 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 2752503072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948551712).

2752503072 is an abundant number, since it is smaller than the sum of its proper divisors (5144600352).

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

2752503072 is a wasteful number, since it uses less digits than its factorization.

2752503072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 2752503072 is about 52464.3028353565. The cubic root of 2752503072 is about 1401.4446095271. Note that the first 3 decimals are identical.

The spelling of 2752503072 in words is "two billion, seven hundred fifty-two million, five hundred three thousand, seventy-two".