2251421340 has 192 divisors, whose sum is σ = 7616716800. Its totient is φ = 485409024.

The previous prime is 2251421339. The next prime is 2251421353. The reversal of 2251421340 is 431241522.

2251421340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2251421340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2449401 + ... + 2450319.

It is an arithmetic number, because the mean of its divisors is an integer number (39670400).

Almost surely, 2^2251421340 is an apocalyptic number.

2251421340 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 2251421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808358400).

2251421340 is an abundant number, since it is smaller than the sum of its proper divisors (5365295460).

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

2251421340 is a wasteful number, since it uses less digits than its factorization.

2251421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2251421340 is about 47449.1447762760. The cubic root of 2251421340 is about 1310.6465623257.

Adding to 2251421340 its reverse (431241522), we get a palindrome (2682662862).

The spelling of 2251421340 in words is "two billion, two hundred fifty-one million, four hundred twenty-one thousand, three hundred forty".