2076438240 has 240 divisors, whose sum is σ = 7468832448. Its totient is φ = 543089664.

The previous prime is 2076438233. The next prime is 2076438257. The reversal of 2076438240 is 428346702.

2076438240 is a `hidden beast` number, since 2 + 0 + 7 + 643 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2076438195 and 2076438204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685369 + ... + 688391.

Almost surely, 2^2076438240 is an apocalyptic number.

2076438240 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 2076438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734416224).

2076438240 is an abundant number, since it is smaller than the sum of its proper divisors (5392394208).

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

2076438240 is a wasteful number, since it uses less digits than its factorization.

2076438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2076438240 is about 45567.9518960420. The cubic root of 2076438240 is about 1275.7718233386.

The spelling of 2076438240 in words is "two billion, seventy-six million, four hundred thirty-eight thousand, two hundred forty".