2072252484 has 81 divisors (see below), whose sum is σ = 5458812541. Its totient is φ = 688292640.

The previous prime is 2072252437. The next prime is 2072252491. The reversal of 2072252484 is 4842522702.

The square root of 2072252484 is 45522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1400406084 + 671846400 = 37422^2 + 25920^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7374424 + ... + 7374704.

Almost surely, 2^2072252484 is an apocalyptic number.

2072252484 is the 45522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072252484

2072252484 is an abundant number, since it is smaller than the sum of its proper divisors (3386560057).

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

2072252484 is an frugal number, since it uses more digits than its factorization.

2072252484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The cubic root of 2072252484 is about 1274.9139983514.

Multiplying 2072252484 by its sum of digits (36), we get a square (74601089424 = 273132²).

2072252484 divided by its sum of digits (36) gives a square (57562569 = 7587²).

The spelling of 2072252484 in words is "two billion, seventy-two million, two hundred fifty-two thousand, four hundred eighty-four".