2490768200 has 36 divisors (see below), whose sum is σ = 5792677515. Its totient is φ = 996024960.

The previous prime is 2490768199. The next prime is 2490768223. The reversal of 2490768200 is 28670942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 70324996 + 2420443204 = 8386^2 + 49198^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35290.

It is a super-2 number, since 2×2490768200² = 12407852452262480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 704036 + ... + 707564.

Almost surely, 2^2490768200 is an apocalyptic number.

2490768200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2490768200 is an abundant number, since it is smaller than the sum of its proper divisors (3301909315).

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

2490768200 is an frugal number, since it uses more digits than its factorization.

2490768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2490768200 is about 49907.5966161465. The cubic root of 2490768200 is about 1355.5361503488.

The spelling of 2490768200 in words is "two billion, four hundred ninety million, seven hundred sixty-eight thousand, two hundred".