2084279040 has 216 divisors, whose sum is σ = 7479592848. Its totient is φ = 555724800.

The previous prime is 2084279027. The next prime is 2084279059. The reversal of 2084279040 is 409724802.

It is a tau number, because it is divible by the number of its divisors (216).

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 = 2084278986 and 2084279004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307690 + ... + 314390.

Almost surely, 2^2084279040 is an apocalyptic number.

2084279040 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 2084279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739796424).

2084279040 is an abundant number, since it is smaller than the sum of its proper divisors (5395313808).

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

2084279040 is an frugal number, since it uses more digits than its factorization.

2084279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2084279040 is about 45653.9049808447. The cubic root of 2084279040 is about 1277.3756124718.

The spelling of 2084279040 in words is "two billion, eighty-four million, two hundred seventy-nine thousand, forty".