2674500452100 has 297 divisors, whose sum is σ = 8718404338623. Its totient is φ = 712140387840.

The previous prime is 2674500452087. The next prime is 2674500452161. The reversal of 2674500452100 is 12540054762.

It is a happy number.

The square root of 2674500452100 is 1635390.

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

2674500452100 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 500 + 45 + 2 + 100 = 666.

2674500452100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 261896250564 + 2412604201536 = 511758^2 + 1553256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3973997364 + ... + 3973998036.

Almost surely, 2^{2674500452100} is an apocalyptic number.

2674500452100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2674500452100 is the 1635390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2674500452100

2674500452100 is an abundant number, since it is smaller than the sum of its proper divisors (6043903886523).

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

2674500452100 is an frugal number, since it uses more digits than its factorization.

2674500452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 2674500452100 by its sum of digits (36), we get a square (96282016275600 = 9812340²).

2674500452100 divided by its sum of digits (36) gives a square (74291679225 = 272565²).

The spelling of 2674500452100 in words is "two trillion, six hundred seventy-four billion, five hundred million, four hundred fifty-two thousand, one hundred".