2490206400 has 504 divisors, whose sum is σ = 9826752000. Its totient is φ = 593049600.

The previous prime is 2490206387. The next prime is 2490206401. The reversal of 2490206400 is 46020942.

It is a super-2 number, since 2×2490206400² = 12402255829201920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2490206401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12513501 + ... + 12513699.

Almost surely, 2^2490206400 is an apocalyptic number.

2490206400 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 2490206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913376000).

2490206400 is an abundant number, since it is smaller than the sum of its proper divisors (7336545600).

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

2490206400 is a wasteful number, since it uses less digits than its factorization.

2490206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

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

The square root of 2490206400 is about 49901.9678970679. The cubic root of 2490206400 is about 1355.4342276471.

The spelling of 2490206400 in words is "two billion, four hundred ninety million, two hundred six thousand, four hundred".