2854463040 has 672 divisors, whose sum is σ = 11982297600. Its totient is φ = 614154240.

The previous prime is 2854462987. The next prime is 2854463041. The reversal of 2854463040 is 403644582.

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 = 2854462986 and 2854463004.

It is not an unprimeable number, because it can be changed into a prime (2854463041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11943241 + ... + 11943479.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^2854463040 is an apocalyptic number.

2854463040 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 2854463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

2854463040 is an abundant number, since it is smaller than the sum of its proper divisors (9127834560).

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

2854463040 is a wasteful number, since it uses less digits than its factorization.

2854463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2854463040 is about 53427.1751078045. The cubic root of 2854463040 is about 1418.5396346547.

The spelling of 2854463040 in words is "two billion, eight hundred fifty-four million, four hundred sixty-three thousand, forty".