2350382538240 has 1280 divisors, whose sum is σ = 9308798484480. Its totient is φ = 557383680000.

The previous prime is 2350382538121. The next prime is 2350382538241. The reversal of 2350382538240 is 428352830532.

2350382538240 is a `hidden beast` number, since 2 + 3 + 503 + 8 + 25 + 3 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2350382538241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9752624520 + ... + 9752624760.

It is an arithmetic number, because the mean of its divisors is an integer number (7272498816).

Almost surely, 2^{2350382538240} is an apocalyptic number.

2350382538240 is a gapful number since it is divisible by the number (20) 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 2350382538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654399242240).

2350382538240 is an abundant number, since it is smaller than the sum of its proper divisors (6958415946240).

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

2350382538240 is a wasteful number, since it uses less digits than its factorization.

2350382538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2350382538240 in words is "two trillion, three hundred fifty billion, three hundred eighty-two million, five hundred thirty-eight thousand, two hundred forty".