2458279052100 has 189 divisors, whose sum is σ = 7999417106317. Its totient is φ = 655428192480.

The previous prime is 2458279052081. The next prime is 2458279052123. The reversal of 2458279052100 is 12509728542.

The square root of 2458279052100 is 1567890.

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

2458279052100 is a `hidden beast` number, since 2 + 4 + 58 + 2 + 79 + 0 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 884980458756 + 1573298593344 = 940734^2 + 1254312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 423327397 + ... + 423333203.

Almost surely, 2^{2458279052100} is an apocalyptic number.

2458279052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2458279052100 is the 1567890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2458279052100

2458279052100 is an abundant number, since it is smaller than the sum of its proper divisors (5541138054217).

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

2458279052100 is an frugal number, since it uses more digits than its factorization.

2458279052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2458279052100 in words is "two trillion, four hundred fifty-eight billion, two hundred seventy-nine million, fifty-two thousand, one hundred".