2247198720 has 384 divisors, whose sum is σ = 8222497920. Its totient is φ = 519045120.

The previous prime is 2247198697. The next prime is 2247198727. The reversal of 2247198720 is 278917422.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2247198727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6788955 + ... + 6789285.

It is an arithmetic number, because the mean of its divisors is an integer number (21412755).

Almost surely, 2^2247198720 is an apocalyptic number.

2247198720 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 2247198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111248960).

2247198720 is an abundant number, since it is smaller than the sum of its proper divisors (5975299200).

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

2247198720 is a wasteful number, since it uses less digits than its factorization.

2247198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2247198720 is about 47404.6276222058. The cubic root of 2247198720 is about 1309.8266616016.

The spelling of 2247198720 in words is "two billion, two hundred forty-seven million, one hundred ninety-eight thousand, seven hundred twenty".