2920464643968 has 512 divisors, whose sum is σ = 9344260800000. Its totient is φ = 894827741184.

The previous prime is 2920464643963. The next prime is 2920464643969. The reversal of 2920464643968 is 8693464640292.

2920464643968 is a `hidden beast` number, since 2 + 9 + 20 + 464 + 64 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×2920464643968² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920464643963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993691843 + ... + 993694781.

It is an arithmetic number, because the mean of its divisors is an integer number (18250509375).

Almost surely, 2^{2920464643968} 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 2920464643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672130400000).

2920464643968 is an abundant number, since it is smaller than the sum of its proper divisors (6423796156032).

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

2920464643968 is a wasteful number, since it uses less digits than its factorization.

2920464643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 2920464643968 in words is "two trillion, nine hundred twenty billion, four hundred sixty-four million, six hundred forty-three thousand, nine hundred sixty-eight".