2502787280400 has 2025 divisors, whose sum is σ = 10715941486327. Its totient is φ = 558896025600.

The previous prime is 2502787280387. The next prime is 2502787280407. The reversal of 2502787280400 is 40827872052.

The square root of 2502787280400 is 1582020.

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

2502787280400 is a `hidden beast` number, since 2 + 502 + 7 + 87 + 28 + 0 + 40 + 0 = 666.

2502787280400 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 58542705936 + 2444244574464 = 241956^2 + 1563408^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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

It is not an unprimeable number, because it can be changed into a prime (2502787280407) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 53250793177 + ... + 53250793223.

Almost surely, 2^{2502787280400} is an apocalyptic number.

2502787280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2502787280400 is the 1582020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502787280400

2502787280400 is an abundant number, since it is smaller than the sum of its proper divisors (8213154205927).

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

2502787280400 is a wasteful number, since it uses less digits than its factorization.

2502787280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 2502787280400 in words is "two trillion, five hundred two billion, seven hundred eighty-seven million, two hundred eighty thousand, four hundred".