2474112000 has 352 divisors, whose sum is σ = 8736923520. Its totient is φ = 619315200.

The previous prime is 2474111971. The next prime is 2474112031. The reversal of 2474112000 is 2114742.

It is a happy number.

It is a super-2 number, since 2×2474112000² = 12242460377088000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527811 + ... + 6528189.

Almost surely, 2^2474112000 is an apocalyptic number.

2474112000 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 2474112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368461760).

2474112000 is an abundant number, since it is smaller than the sum of its proper divisors (6262811520).

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

2474112000 is a wasteful number, since it uses less digits than its factorization.

2474112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2474112000 is about 49740.4463188661. The cubic root of 2474112000 is about 1352.5078213257.

Adding to 2474112000 its reverse (2114742), we get a palindrome (2476226742).

The spelling of 2474112000 in words is "two billion, four hundred seventy-four million, one hundred twelve thousand".