2402457449472 has 440 divisors, whose sum is σ = 7318645568520. Its totient is φ = 784796221440.

The previous prime is 2402457449449. The next prime is 2402457449507. The reversal of 2402457449472 is 2749447542042.

2402457449472 is a `hidden beast` number, since 2 + 4 + 0 + 24 + 574 + 4 + 9 + 47 + 2 = 666.

2402457449472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 306402103296 + 2096055346176 = 553536^2 + 1447776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1705079104 + ... + 1705080512.

It is an arithmetic number, because the mean of its divisors is an integer number (16633285383).

Almost surely, 2^{2402457449472} 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 2402457449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659322784260).

2402457449472 is an abundant number, since it is smaller than the sum of its proper divisors (4916188119048).

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

2402457449472 is a wasteful number, since it uses less digits than its factorization.

2402457449472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 2402457449472 in words is "two trillion, four hundred two billion, four hundred fifty-seven million, four hundred forty-nine thousand, four hundred seventy-two".