2498264748100 has 81 divisors (see below), whose sum is σ = 5959292327191. Its totient is φ = 908396684800.

The previous prime is 2498264748071. The next prime is 2498264748101. The reversal of 2498264748100 is 18474628942.

The square root of 2498264748100 is 1580590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3406589956 + 2494858158144 = 58366^2 + 1579512^2 .

It is a super-2 number, since 2×2498264748100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2498264748101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173857716 + ... + 173872084.

Almost surely, 2^{2498264748100} is an apocalyptic number.

2498264748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2498264748100 is the 1580590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2498264748100

2498264748100 is an abundant number, since it is smaller than the sum of its proper divisors (3461027579091).

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

2498264748100 is an equidigital number, since it uses as much as digits as its factorization.

2498264748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28774 (or 14387 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 2498264748100 in words is "two trillion, four hundred ninety-eight billion, two hundred sixty-four million, seven hundred forty-eight thousand, one hundred".