2400212521728 has 144 divisors (see below), whose sum is σ = 8111829519360. Its totient is φ = 685774992384.

The previous prime is 2400212521723. The next prime is 2400212521747. The reversal of 2400212521728 is 8271252120042.

It is a happy number.

2400212521728 is a `hidden beast` number, since 2 + 40 + 0 + 21 + 2 + 521 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2400212521728² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2400212521692 and 2400212521701.

It is not an unprimeable number, because it can be changed into a prime (2400212521723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24755400 + ... + 24852167.

It is an arithmetic number, because the mean of its divisors is an integer number (56332149440).

Almost surely, 2^{2400212521728} is an apocalyptic number.

2400212521728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2400212521728 is an abundant number, since it is smaller than the sum of its proper divisors (5711616997632).

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

2400212521728 is an equidigital number, since it uses as much as digits as its factorization.

2400212521728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49607599 (or 49607579 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 2400212521728 in words is "two trillion, four hundred billion, two hundred twelve million, five hundred twenty-one thousand, seven hundred twenty-eight".