2909740990464 has 1216 divisors, whose sum is σ = 11354798131200. Its totient is φ = 713451110400.

The previous prime is 2909740990463. The next prime is 2909740990543. The reversal of 2909740990464 is 4640990479092.

It is a tau number, because it is divible by the number of its divisors (1216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909740990463) 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, 10354950004 + ... + 10354950284.

Almost surely, 2^{2909740990464} is an apocalyptic number.

2909740990464 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 2909740990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677399065600).

2909740990464 is an abundant number, since it is smaller than the sum of its proper divisors (8445057140736).

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

2909740990464 is an equidigital number, since it uses as much as digits as its factorization.

2909740990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 2909740990464 in words is "two trillion, nine hundred nine billion, seven hundred forty million, nine hundred ninety thousand, four hundred sixty-four".