1772306490240 has 1280 divisors, whose sum is σ = 7827711091200. Its totient is φ = 375696506880.

The previous prime is 1772306490223. The next prime is 1772306490271. The reversal of 1772306490240 is 420946032771.

1772306490240 is a `hidden beast` number, since 17 + 7 + 2 + 306 + 4 + 90 + 240 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140842989 + ... + 140855571.

It is an arithmetic number, because the mean of its divisors is an integer number (6115399290).

Almost surely, 2^{1772306490240} is an apocalyptic number.

1772306490240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1772306490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913855545600).

1772306490240 is an abundant number, since it is smaller than the sum of its proper divisors (6055404600960).

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

1772306490240 is a wasteful number, since it uses less digits than its factorization.

1772306490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12657 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1772306490240 in words is "one trillion, seven hundred seventy-two billion, three hundred six million, four hundred ninety thousand, two hundred forty".