2085407424 has 224 divisors, whose sum is σ = 6460784640. Its totient is φ = 658335744.

The previous prime is 2085407411. The next prime is 2085407449. The reversal of 2085407424 is 4247045802.

2085407424 is a `hidden beast` number, since 20 + 8 + 540 + 74 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5444737 + ... + 5445119.

Almost surely, 2^2085407424 is an apocalyptic number.

2085407424 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 2085407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230392320).

2085407424 is an abundant number, since it is smaller than the sum of its proper divisors (4375377216).

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

2085407424 is a wasteful number, since it uses less digits than its factorization.

2085407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2085407424 is about 45666.2613315345. The cubic root of 2085407424 is about 1277.6060854786.

The spelling of 2085407424 in words is "two billion, eighty-five million, four hundred seven thousand, four hundred twenty-four".