2400415572672 has 672 divisors, whose sum is σ = 7835677065216. Its totient is φ = 697061376000.

The previous prime is 2400415572641. The next prime is 2400415572689. The reversal of 2400415572672 is 2762755140042.

2400415572672 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 4 + 1 + 5 + 572 + 6 + 72 = 666.

2400415572672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6267403393 + ... + 6267403775.

It is an arithmetic number, because the mean of its divisors is an integer number (11660233728).

Almost surely, 2^{2400415572672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400415572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917838532608).

2400415572672 is an abundant number, since it is smaller than the sum of its proper divisors (5435261492544).

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

2400415572672 is a wasteful number, since it uses less digits than its factorization.

2400415572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2400415572672 in words is "two trillion, four hundred billion, four hundred fifteen million, five hundred seventy-two thousand, six hundred seventy-two".