2900741555664 has 120 divisors (see below), whose sum is σ = 8420762724192. Its totient is φ = 966678779520.

The previous prime is 2900741555659. The next prime is 2900741555669. The reversal of 2900741555664 is 4665551470092.

2900741555664 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 74 + 1 + 5 + 5 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2900741555659) and next prime (2900741555669).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2900741555664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900741555669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16283782 + ... + 16460954.

Almost surely, 2^{2900741555664} is an apocalyptic number.

2900741555664 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 2900741555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210381362096).

2900741555664 is an abundant number, since it is smaller than the sum of its proper divisors (5520021168528).

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

2900741555664 is a wasteful number, since it uses less digits than its factorization.

2900741555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181407 (or 181389 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2900741555664 in words is "two trillion, nine hundred billion, seven hundred forty-one million, five hundred fifty-five thousand, six hundred sixty-four".