2241177984 has 320 divisors, whose sum is σ = 7266969600. Its totient is φ = 683043840.

The previous prime is 2241177959. The next prime is 2241177989. The reversal of 2241177984 is 4897711422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241177989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6106569 + ... + 6106935.

It is an arithmetic number, because the mean of its divisors is an integer number (22709280).

Almost surely, 2^2241177984 is an apocalyptic number.

2241177984 is a gapful number since it is divisible by the number (24) 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 2241177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633484800).

2241177984 is an abundant number, since it is smaller than the sum of its proper divisors (5025791616).

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

2241177984 is a wasteful number, since it uses less digits than its factorization.

2241177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 422 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2241177984 is about 47341.0813564709. The cubic root of 2241177984 is about 1308.6558448204.

The spelling of 2241177984 in words is "two billion, two hundred forty-one million, one hundred seventy-seven thousand, nine hundred eighty-four".