2445992640 has 1120 divisors, whose sum is σ = 11524512384. Its totient is φ = 477757440.

The previous prime is 2445992639. The next prime is 2445992669. The reversal of 2445992640 is 462995442.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1830 × 1638 × 816.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 40098210 + ... + 40098270.

Almost surely, 2^2445992640 is an apocalyptic number.

2445992640 is a gapful number since it is divisible by the number (20) 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 2445992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762256192).

2445992640 is an abundant number, since it is smaller than the sum of its proper divisors (9078519744).

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

2445992640 is a wasteful number, since it uses less digits than its factorization.

2445992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2445992640 is about 49456.9776674637. The cubic root of 2445992640 is about 1347.3643391204.

The spelling of 2445992640 in words is "two billion, four hundred forty-five million, nine hundred ninety-two thousand, six hundred forty".