2490200064 has 416 divisors, whose sum is σ = 8492428800. Its totient is φ = 713687040.

The previous prime is 2490200051. The next prime is 2490200077. The reversal of 2490200064 is 4600020942.

It is an interprime number because it is at equal distance from previous prime (2490200051) and next prime (2490200077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27979732 + ... + 27979820.

Almost surely, 2^2490200064 is an apocalyptic number.

2490200064 is a gapful number since it is divisible by the number (24) 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 2490200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246214400).

2490200064 is an abundant number, since it is smaller than the sum of its proper divisors (6002228736).

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

2490200064 is a wasteful number, since it uses less digits than its factorization.

2490200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

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

The square root of 2490200064 is about 49901.9044125572. The cubic root of 2490200064 is about 1355.4330780719.

The spelling of 2490200064 in words is "two billion, four hundred ninety million, two hundred thousand, sixty-four".