2949081891210 has 768 divisors, whose sum is σ = 10254656176128. Its totient is φ = 593072409600.

The previous prime is 2949081891191. The next prime is 2949081891233. The reversal of 2949081891210 is 121981809492.

2949081891210 is a `hidden beast` number, since 29 + 490 + 8 + 1 + 8 + 9 + 121 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 459283800 + ... + 459290220.

It is an arithmetic number, because the mean of its divisors is an integer number (13352416896).

Almost surely, 2^{2949081891210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949081891210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127328088064).

2949081891210 is an abundant number, since it is smaller than the sum of its proper divisors (7305574284918).

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

2949081891210 is a wasteful number, since it uses less digits than its factorization.

2949081891210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6561 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 2949081891210 in words is "two trillion, nine hundred forty-nine billion, eighty-one million, eight hundred ninety-one thousand, two hundred ten".