2985956029440 has 1056 divisors, whose sum is σ = 11587919616000. Its totient is φ = 707316940800.

The previous prime is 2985956029421. The next prime is 2985956029447. The reversal of 2985956029440 is 449206595892.

2985956029440 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 9 + 560 + 29 + 4 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985956029447) 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, 995649061 + ... + 995652059.

Almost surely, 2^{2985956029440} is an apocalyptic number.

2985956029440 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 2985956029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793959808000).

2985956029440 is an abundant number, since it is smaller than the sum of its proper divisors (8601963586560).

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

2985956029440 is a wasteful number, since it uses less digits than its factorization.

2985956029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 2985956029440 in words is "two trillion, nine hundred eighty-five billion, nine hundred fifty-six million, twenty-nine thousand, four hundred forty".