2478065400 has 144 divisors (see below), whose sum is σ = 8630567400. Its totient is φ = 660804480.

The previous prime is 2478065377. The next prime is 2478065413. The reversal of 2478065400 is 45608742.

2478065400 is a `hidden beast` number, since 247 + 8 + 0 + 6 + 5 + 400 = 666.

2478065400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478065400² = 12281616253354320000, 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 35 ways as a sum of consecutive naturals, for example, 23106 + ... + 74094.

Almost surely, 2^2478065400 is an apocalyptic number.

2478065400 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 2478065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315283700).

2478065400 is an abundant number, since it is smaller than the sum of its proper divisors (6152502000).

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

2478065400 is a wasteful number, since it uses less digits than its factorization.

2478065400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51020 (or 50999 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2478065400 is about 49780.1707510129. The cubic root of 2478065400 is about 1353.2278317027.

The spelling of 2478065400 in words is "two billion, four hundred seventy-eight million, sixty-five thousand, four hundred".