2493241000000 has 147 divisors (see below), whose sum is σ = 6188246316777. Its totient is φ = 996664800000.

The previous prime is 2493240999971. The next prime is 2493241000009. The reversal of 2493241000000 is 1423942.

The square root of 2493241000000 is 1579000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2184318467136 + 308922532864 = 1477944^2 + 555808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2493241000009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1578999211 + ... + 1579000789.

Almost surely, 2^{2493241000000} is an apocalyptic number.

2493241000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2493241000000 is the 1579000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493241000000

2493241000000 is an abundant number, since it is smaller than the sum of its proper divisors (3695005316777).

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

2493241000000 is an frugal number, since it uses more digits than its factorization.

2493241000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 2493241000000 by its sum of digits (25), we get a square (62331025000000 = 7895000²).

2493241000000 divided by its sum of digits (25) gives a square (99729640000 = 315800²).

Adding to 2493241000000 its reverse (1423942), we get a palindrome (2493242423942).

The spelling of 2493241000000 in words is "two trillion, four hundred ninety-three billion, two hundred forty-one million", and thus it is an aban number.