2084275440 has 120 divisors (see below), whose sum is σ = 7538163360. Its totient is φ = 513050112.

The previous prime is 2084275423. The next prime is 2084275447. The reversal of 2084275440 is 445724802.

2084275440 is a `hidden beast` number, since 208 + 4 + 2 + 7 + 5 + 440 = 666.

2084275440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2084275395 and 2084275404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084275447) 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, 101980 + ... + 120699.

It is an arithmetic number, because the mean of its divisors is an integer number (62818028).

Almost surely, 2^2084275440 is an apocalyptic number.

2084275440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084275440 is an abundant number, since it is smaller than the sum of its proper divisors (5453887920).

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

2084275440 is a wasteful number, since it uses less digits than its factorization.

2084275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222711 (or 222702 counting only the distinct ones).

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

The square root of 2084275440 is about 45653.8655537513. The cubic root of 2084275440 is about 1277.3748770368.

The spelling of 2084275440 in words is "two billion, eighty-four million, two hundred seventy-five thousand, four hundred forty".