2221177464 has 192 divisors, whose sum is σ = 6849722880. Its totient is φ = 668736000.

The previous prime is 2221177457. The next prime is 2221177481. The reversal of 2221177464 is 4647711222.

2221177464 is a `hidden beast` number, since 2 + 2 + 21 + 177 + 464 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5153329 + ... + 5153759.

It is an arithmetic number, because the mean of its divisors is an integer number (35675640).

Almost surely, 2^2221177464 is an apocalyptic number.

2221177464 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 2221177464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424861440).

2221177464 is an abundant number, since it is smaller than the sum of its proper divisors (4628545416).

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

2221177464 is a wasteful number, since it uses less digits than its factorization.

2221177464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2221177464 is about 47129.3694419944. The cubic root of 2221177464 is about 1304.7513438247.

Adding to 2221177464 its reverse (4647711222), we get a palindrome (6868888686).

The spelling of 2221177464 in words is "two billion, two hundred twenty-one million, one hundred seventy-seven thousand, four hundred sixty-four".