2280390160464 has 560 divisors, whose sum is σ = 7249814857152. Its totient is φ = 690353528832.

The previous prime is 2280390160457. The next prime is 2280390160507. The reversal of 2280390160464 is 4640610930822.

2280390160464 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 39 + 0 + 1 + 604 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3338784667 + ... + 3338785349.

Almost surely, 2^{2280390160464} is an apocalyptic number.

2280390160464 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 2280390160464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624907428576).

2280390160464 is an abundant number, since it is smaller than the sum of its proper divisors (4969424696688).

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

2280390160464 is a wasteful number, since it uses less digits than its factorization.

2280390160464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2280390160464 in words is "two trillion, two hundred eighty billion, three hundred ninety million, one hundred sixty thousand, four hundred sixty-four".