2478067200 has 540 divisors, whose sum is σ = 10339706520. Its totient is φ = 565125120.

The previous prime is 2478067157. The next prime is 2478067213. The reversal of 2478067200 is 27608742.

It is a super-2 number, since 2×2478067200² = 12281634095431680000, which contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 5644581 + ... + 5645019.

Almost surely, 2^2478067200 is an apocalyptic number.

2478067200 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 2478067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169853260).

2478067200 is an abundant number, since it is smaller than the sum of its proper divisors (7861639320).

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

2478067200 is a wasteful number, since it uses less digits than its factorization.

2478067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2478067200 is about 49780.1888304976. The cubic root of 2478067200 is about 1353.2281593521.

The spelling of 2478067200 in words is "two billion, four hundred seventy-eight million, sixty-seven thousand, two hundred".