1802724618240 has 1248 divisors, whose sum is σ = 7941062578176. Its totient is φ = 367979397120.

The previous prime is 1802724618161. The next prime is 1802724618241. The reversal of 1802724618240 is 428164272081.

1802724618240 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 7 + 2 + 4 + 618 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 not an unprimeable number, because it can be changed into a prime (1802724618241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519964987 + ... + 519968453.

It is an arithmetic number, because the mean of its divisors is an integer number (6363030912).

Almost surely, 2^{1802724618240} is an apocalyptic number.

1802724618240 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 1802724618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970531289088).

1802724618240 is an abundant number, since it is smaller than the sum of its proper divisors (6138337959936).

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

1802724618240 is a wasteful number, since it uses less digits than its factorization.

1802724618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1802724618240 in words is "one trillion, eight hundred two billion, seven hundred twenty-four million, six hundred eighteen thousand, two hundred forty".