2906640316944 has 320 divisors, whose sum is σ = 10333899143680. Its totient is φ = 761702123520.

The previous prime is 2906640316927. The next prime is 2906640316961. The reversal of 2906640316944 is 4496130466092.

2906640316944 is a `hidden beast` number, since 2 + 90 + 66 + 403 + 1 + 6 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2906640316927) and next prime (2906640316961).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5936514 + ... + 6407454.

It is an arithmetic number, because the mean of its divisors is an integer number (32293434824).

Almost surely, 2^{2906640316944} is an apocalyptic number.

2906640316944 is a gapful number since it is divisible by the number (24) 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 2906640316944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166949571840).

2906640316944 is an abundant number, since it is smaller than the sum of its proper divisors (7427258826736).

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

2906640316944 is a wasteful number, since it uses less digits than its factorization.

2906640316944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471135 (or 471123 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2906640316944 in words is "two trillion, nine hundred six billion, six hundred forty million, three hundred sixteen thousand, nine hundred forty-four".