2490431321700 has 360 divisors, whose sum is σ = 9769005493632. Its totient is φ = 535756446720.

The previous prime is 2490431321681. The next prime is 2490431321747. The reversal of 2490431321700 is 71231340942.

It is a happy number.

2490431321700 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 431 + 3 + 217 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 327952 + ... + 2255751.

Almost surely, 2^{2490431321700} is an apocalyptic number.

2490431321700 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 2490431321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884502746816).

2490431321700 is an abundant number, since it is smaller than the sum of its proper divisors (7278574171932).

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

2490431321700 is a wasteful number, since it uses less digits than its factorization.

2490431321700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583753 (or 2583737 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2490431321700 in words is "two trillion, four hundred ninety billion, four hundred thirty-one million, three hundred twenty-one thousand, seven hundred".