2251201440 has 96 divisors (see below), whose sum is σ = 7109242560. Its totient is φ = 598800384.

The previous prime is 2251201439. The next prime is 2251201457. The reversal of 2251201440 is 441021522.

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

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, 190587 + ... + 202053.

It is an arithmetic number, because the mean of its divisors is an integer number (74054610).

Almost surely, 2^2251201440 is an apocalyptic number.

2251201440 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 2251201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554621280).

2251201440 is an abundant number, since it is smaller than the sum of its proper divisors (4858041120).

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

2251201440 is a wasteful number, since it uses less digits than its factorization.

2251201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11886 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2251201440 is about 47446.8275019521. The cubic root of 2251201440 is about 1310.6038899395.

Adding to 2251201440 its reverse (441021522), we get a palindrome (2692222962).

The spelling of 2251201440 in words is "two billion, two hundred fifty-one million, two hundred one thousand, four hundred forty".