2492006400 has 459 divisors, whose sum is σ = 9666355179. Its totient is φ = 613416960.

The previous prime is 2492006327. The next prime is 2492006437. The reversal of 2492006400 is 46002942.

The square root of 2492006400 is 49920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 642318336 + 1849688064 = 25344^2 + 43008^2 .

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191692794 + ... + 191692806.

Almost surely, 2^2492006400 is an apocalyptic number.

2492006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2492006400 is the 49920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492006400

2492006400 is an abundant number, since it is smaller than the sum of its proper divisors (7174348779).

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

2492006400 is an equidigital number, since it uses as much as digits as its factorization.

2492006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 2492006400 is about 1355.7607325766.

The spelling of 2492006400 in words is "two billion, four hundred ninety-two million, six thousand, four hundred".