2493952100 has 144 divisors (see below), whose sum is σ = 5905872000. Its totient is φ = 911539200.

The previous prime is 2493952073. The next prime is 2493952127. The reversal of 2493952100 is 12593942.

It is an interprime number because it is at equal distance from previous prime (2493952073) and next prime (2493952127).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4997651 + ... + 4998149.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 2^2493952100 is an apocalyptic number.

2493952100 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 2493952100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936000).

2493952100 is an abundant number, since it is smaller than the sum of its proper divisors (3411919900).

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

2493952100 is a wasteful number, since it uses less digits than its factorization.

2493952100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 2493952100 is about 49939.4843785957. The cubic root of 2493952100 is about 1356.1134894847.

The spelling of 2493952100 in words is "two billion, four hundred ninety-three million, nine hundred fifty-two thousand, one hundred".