2820907440 has 360 divisors, whose sum is σ = 10407458880. Its totient is φ = 684343296.

The previous prime is 2820907433. The next prime is 2820907487. The reversal of 2820907440 is 447090282.

2820907440 is a `hidden beast` number, since 2 + 8 + 209 + 0 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2820907395 and 2820907404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11802841 + ... + 11803079.

It is an arithmetic number, because the mean of its divisors is an integer number (28909608).

Almost surely, 2^2820907440 is an apocalyptic number.

2820907440 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 2820907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203729440).

2820907440 is an abundant number, since it is smaller than the sum of its proper divisors (7586551440).

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

2820907440 is a wasteful number, since it uses less digits than its factorization.

2820907440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

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

The square root of 2820907440 is about 53112.2155440723. The cubic root of 2820907440 is about 1412.9591692771.

The spelling of 2820907440 in words is "two billion, eight hundred twenty million, nine hundred seven thousand, four hundred forty".