2445790464 has 360 divisors, whose sum is σ = 8074633952. Its totient is φ = 731566080.

The previous prime is 2445790439. The next prime is 2445790469. The reversal of 2445790464 is 4640975442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445790469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11591319 + ... + 11591529.

Almost surely, 2^2445790464 is an apocalyptic number.

2445790464 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 2445790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037316976).

2445790464 is an abundant number, since it is smaller than the sum of its proper divisors (5628843488).

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

2445790464 is a wasteful number, since it uses less digits than its factorization.

2445790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2445790464 is about 49454.9336669255. The cubic root of 2445790464 is about 1347.3272155093.

It can be divided in two parts, 24457 and 90464, that added together give a square (114921 = 339²).

The spelling of 2445790464 in words is "two billion, four hundred forty-five million, seven hundred ninety thousand, four hundred sixty-four".