2474400160 has 192 divisors, whose sum is σ = 6306370560. Its totient is φ = 915701760.

The previous prime is 2474400121. The next prime is 2474400163. The reversal of 2474400160 is 610044742.

It is a super-2 number, since 2×2474400160² = 12245312303616051200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2474400163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17801371 + ... + 17801509.

It is an arithmetic number, because the mean of its divisors is an integer number (32845680).

Almost surely, 2^2474400160 is an apocalyptic number.

2474400160 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 2474400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153185280).

2474400160 is an abundant number, since it is smaller than the sum of its proper divisors (3831970400).

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

2474400160 is a wasteful number, since it uses less digits than its factorization.

2474400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2474400160 is about 49743.3428711823. The cubic root of 2474400160 is about 1352.5603281812.

The spelling of 2474400160 in words is "two billion, four hundred seventy-four million, four hundred thousand, one hundred sixty".