2854472400 has 480 divisors, whose sum is σ = 11120538240. Its totient is φ = 699840000.

The previous prime is 2854472381. The next prime is 2854472419. The reversal of 2854472400 is 42744582.

2854472400 is a `hidden beast` number, since 2 + 8 + 544 + 72 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2854472381) and next prime (2854472419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11372275 + ... + 11372525.

It is an arithmetic number, because the mean of its divisors is an integer number (23167788).

Almost surely, 2^2854472400 is an apocalyptic number.

2854472400 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 2854472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560269120).

2854472400 is an abundant number, since it is smaller than the sum of its proper divisors (8266065840).

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

2854472400 is a wasteful number, since it uses less digits than its factorization.

2854472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2854472400 is about 53427.2627036048. The cubic root of 2854472400 is about 1418.5411851526.

The spelling of 2854472400 in words is "two billion, eight hundred fifty-four million, four hundred seventy-two thousand, four hundred".