2495041384900 has 81 divisors (see below), whose sum is σ = 5449324281037. Its totient is φ = 991590863200.

The previous prime is 2495041384883. The next prime is 2495041384907. The reversal of 2495041384900 is 94831405942.

It is a happy number.

The square root of 2495041384900 is 1579570.

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

It can be written as a sum of positive squares in only one way, i.e., 898214898564 + 1596826486336 = 947742^2 + 1263656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2495041384907) 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, 3016978287 + ... + 3016979113.

Almost surely, 2^{2495041384900} is an apocalyptic number.

2495041384900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2495041384900 is the 1579570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495041384900

2495041384900 is an abundant number, since it is smaller than the sum of its proper divisors (2954282896137).

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

2495041384900 is an frugal number, since it uses more digits than its factorization.

2495041384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 2495041384900 by its sum of digits (49), we get a square (122257027860100 = 11056990²).

The spelling of 2495041384900 in words is "two trillion, four hundred ninety-five billion, forty-one million, three hundred eighty-four thousand, nine hundred".