2473874400 has 288 divisors, whose sum is σ = 8525454336. Its totient is φ = 622080000.

The previous prime is 2473874363. The next prime is 2473874407. The reversal of 2473874400 is 44783742.

It is a super-2 number, since 2×2473874400² = 12240109093950720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473874407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3049995 + ... + 3050805.

It is an arithmetic number, because the mean of its divisors is an integer number (29602272).

Almost surely, 2^2473874400 is an apocalyptic number.

2473874400 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 2473874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262727168).

2473874400 is an abundant number, since it is smaller than the sum of its proper divisors (6051579936).

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

2473874400 is a wasteful number, since it uses less digits than its factorization.

2473874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 2473874400 is about 49738.0578631695. The cubic root of 2473874400 is about 1352.4645241554.

The spelling of 2473874400 in words is "two billion, four hundred seventy-three million, eight hundred seventy-four thousand, four hundred".