2983839690240 has 1120 divisors, whose sum is σ = 11076982652736. Its totient is φ = 770144993280.

The previous prime is 2983839690233. The next prime is 2983839690257. The reversal of 2983839690240 is 420969383892.

2983839690240 is a `hidden beast` number, since 2 + 9 + 8 + 383 + 9 + 6 + 9 + 0 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9594339685 + ... + 9594339995.

Almost surely, 2^{2983839690240} is an apocalyptic number.

2983839690240 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 2983839690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538491326368).

2983839690240 is an abundant number, since it is smaller than the sum of its proper divisors (8093142962496).

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

2983839690240 is an frugal number, since it uses more digits than its factorization.

2983839690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2983839690240 in words is "two trillion, nine hundred eighty-three billion, eight hundred thirty-nine million, six hundred ninety thousand, two hundred forty".