2534495840100 has 1125 divisors, whose sum is σ = 10117041634777. Its totient is φ = 548823159360.

The previous prime is 2534495840077. The next prime is 2534495840131. The reversal of 2534495840100 is 10485944352.

The square root of 2534495840100 is 1592010.

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

2534495840100 is a `hidden beast` number, since 2 + 53 + 4 + 4 + 9 + 584 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 912418502436 + 1622077337664 = 955206^2 + 1273608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 133394517891 + ... + 133394517909.

Almost surely, 2^{2534495840100} is an apocalyptic number.

2534495840100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2534495840100 is the 1592010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534495840100

2534495840100 is an abundant number, since it is smaller than the sum of its proper divisors (7582545794677).

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

2534495840100 is an frugal number, since it uses more digits than its factorization.

2534495840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2534495840100 in words is "two trillion, five hundred thirty-four billion, four hundred ninety-five million, eight hundred forty thousand, one hundred".