2492942400 has 672 divisors, whose sum is σ = 10265176320. Its totient is φ = 583925760.

The previous prime is 2492942371. The next prime is 2492942401. The reversal of 2492942400 is 42492942.

2492942400 is a `hidden beast` number, since 249 + 2 + 9 + 4 + 2 + 400 = 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 (2492942401) 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 95 ways as a sum of consecutive naturals, for example, 12916704 + ... + 12916896.

It is an arithmetic number, because the mean of its divisors is an integer number (15275560).

Almost surely, 2^2492942400 is an apocalyptic number.

2492942400 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 2492942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132588160).

2492942400 is an abundant number, since it is smaller than the sum of its proper divisors (7772233920).

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

2492942400 is a wasteful number, since it uses less digits than its factorization.

2492942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2492942400 is about 49929.3741198505. The cubic root of 2492942400 is about 1355.9304530076.

The spelling of 2492942400 in words is "two billion, four hundred ninety-two million, nine hundred forty-two thousand, four hundred".