2721228142464 has 192 divisors, whose sum is σ = 8465797725840. Its totient is φ = 834041806848.

The previous prime is 2721228142463. The next prime is 2721228142471. The reversal of 2721228142464 is 4642418221272.

It is a happy number.

2721228142464 is a `hidden beast` number, since 2 + 7 + 21 + 2 + 28 + 142 + 464 = 666.

2721228142464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2721228142463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495319 + ... + 4202345.

Almost surely, 2^{2721228142464} is an apocalyptic number.

2721228142464 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 2721228142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232898862920).

2721228142464 is an abundant number, since it is smaller than the sum of its proper divisors (5744569583376).

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

2721228142464 is a wasteful number, since it uses less digits than its factorization.

2721228142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707317 (or 707302 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 2721228142464 in words is "two trillion, seven hundred twenty-one billion, two hundred twenty-eight million, one hundred forty-two thousand, four hundred sixty-four".