2423786400 has 216 divisors, whose sum is σ = 9768062304. Its totient is φ = 553996800.

The previous prime is 2423786359. The next prime is 2423786401. The reversal of 2423786400 is 46873242.

2423786400 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 7 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2423786401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26355 + ... + 74445.

Almost surely, 2^2423786400 is an apocalyptic number.

2423786400 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 2423786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884031152).

2423786400 is an abundant number, since it is smaller than the sum of its proper divisors (7344275904).

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

2423786400 is a wasteful number, since it uses less digits than its factorization.

2423786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48124 (or 48108 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2423786400 is about 49231.9652258571. The cubic root of 2423786400 is about 1343.2745340728.

The spelling of 2423786400 in words is "two billion, four hundred twenty-three million, seven hundred eighty-six thousand, four hundred".