2854621440 has 360 divisors, whose sum is σ = 11147387328. Its totient is φ = 691752960.

The previous prime is 2854621423. The next prime is 2854621493. The reversal of 2854621440 is 441264582.

2854621440 is a `hidden beast` number, since 28 + 5 + 4 + 621 + 4 + 4 + 0 = 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 = 2854621395 and 2854621404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139229 + ... + 1141731.

Almost surely, 2^2854621440 is an apocalyptic number.

2854621440 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 2854621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573693664).

2854621440 is an abundant number, since it is smaller than the sum of its proper divisors (8292765888).

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

2854621440 is a wasteful number, since it uses less digits than its factorization.

2854621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2854621440 is about 53428.6574789223. The cubic root of 2854621440 is about 1418.5658733925.

The spelling of 2854621440 in words is "two billion, eight hundred fifty-four million, six hundred twenty-one thousand, four hundred forty".