2485390086144 has 1755 divisors, whose sum is σ = 9590928618117. Its totient is φ = 639281922048.

The previous prime is 2485390086107. The next prime is 2485390086287. The reversal of 2485390086144 is 4416800935842.

The square root of 2485390086144 is 1576512.

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

2485390086144 is a `hidden beast` number, since 2 + 4 + 8 + 539 + 0 + 0 + 8 + 61 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1934992281600 + 550397804544 = 1391040^2 + 741888^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 108060438517 + ... + 108060438539.

Almost surely, 2^{2485390086144} is an apocalyptic number.

2485390086144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2485390086144 is the 1576512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2485390086144

2485390086144 is an abundant number, since it is smaller than the sum of its proper divisors (7105538531973).

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

2485390086144 is an equidigital number, since it uses as much as digits as its factorization.

2485390086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2485390086144 in words is "two trillion, four hundred eighty-five billion, three hundred ninety million, eighty-six thousand, one hundred forty-four".