2084645040 has 120 divisors (see below), whose sum is σ = 6820710768. Its totient is φ = 526625280.

The previous prime is 2084645039. The next prime is 2084645047. The reversal of 2084645040 is 405464802.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2084644992 and 2084645010.

It is not an unprimeable number, because it can be changed into a prime (2084645047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74610 + ... + 98670.

Almost surely, 2^2084645040 is an apocalyptic number.

2084645040 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 2084645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410355384).

2084645040 is an abundant number, since it is smaller than the sum of its proper divisors (4736065728).

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

2084645040 is a wasteful number, since it uses less digits than its factorization.

2084645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24115 (or 24090 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2084645040 is about 45657.9132243251. The cubic root of 2084645040 is about 1277.4503772709.

The spelling of 2084645040 in words is "two billion, eighty-four million, six hundred forty-five thousand, forty".