2034645488100 has 297 divisors, whose sum is σ = 6634035238537. Its totient is φ = 541647816480.

The previous prime is 2034645488039. The next prime is 2034645488111. The reversal of 2034645488100 is 18845464302.

The square root of 2034645488100 is 1426410.

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

2034645488100 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 64 + 5 + 488 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 732472375716 + 1302173112384 = 855846^2 + 1141128^2 .

It is a super-2 number, since 2×2034645488100² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3466176007 + ... + 3466176593.

Almost surely, 2^{2034645488100} is an apocalyptic number.

2034645488100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2034645488100 is the 1426410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034645488100

2034645488100 is an abundant number, since it is smaller than the sum of its proper divisors (4599389750437).

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

2034645488100 is an frugal number, since it uses more digits than its factorization.

2034645488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2034645488100 in words is "two trillion, thirty-four billion, six hundred forty-five million, four hundred eighty-eight thousand, one hundred".