2649092898816 has 1920 divisors, whose sum is σ = 10569323520000. Its totient is φ = 649240510464.

The previous prime is 2649092898811. The next prime is 2649092898821. The reversal of 2649092898816 is 6188982909462.

2649092898816 is a `hidden beast` number, since 26 + 490 + 9 + 28 + 9 + 88 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2649092898811) and next prime (2649092898821).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649092898811) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33532821465 + ... + 33532821543.

It is an arithmetic number, because the mean of its divisors is an integer number (5504856000).

Almost surely, 2^{2649092898816} is an apocalyptic number.

2649092898816 is a gapful number since it is divisible by the number (26) 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 2649092898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284661760000).

2649092898816 is an abundant number, since it is smaller than the sum of its proper divisors (7920230621184).

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

2649092898816 is an equidigital number, since it uses as much as digits as its factorization.

2649092898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 2649092898816 in words is "two trillion, six hundred forty-nine billion, ninety-two million, eight hundred ninety-eight thousand, eight hundred sixteen".