2989420390656 has 720 divisors, whose sum is σ = 10314502982784. Its totient is φ = 843536498688.

The previous prime is 2989420390651. The next prime is 2989420390667. The reversal of 2989420390656 is 6560930249892.

2989420390656 is a `hidden beast` number, since 2 + 98 + 94 + 20 + 390 + 6 + 56 = 666.

It is a super-2 number, since 2×2989420390656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2989420390593 and 2989420390602.

It is not an unprimeable number, because it can be changed into a prime (2989420390651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5309805031 + ... + 5309805593.

Almost surely, 2^{2989420390656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989420390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157251491392).

2989420390656 is an abundant number, since it is smaller than the sum of its proper divisors (7325082592128).

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

2989420390656 is a wasteful number, since it uses less digits than its factorization.

2989420390656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2989420390656 in words is "two trillion, nine hundred eighty-nine billion, four hundred twenty million, three hundred ninety thousand, six hundred fifty-six".