2758991312000 has 512 divisors, whose sum is σ = 8924080988160. Its totient is φ = 822547968000.

The previous prime is 2758991311939. The next prime is 2758991312003. The reversal of 2758991312000 is 2131998572.

It is a happy number.

It is a super-2 number, since 2×2758991312000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2758991312003) 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, 28287317 + ... + 28384683.

It is an arithmetic number, because the mean of its divisors is an integer number (17429845680).

Almost surely, 2^{2758991312000} is an apocalyptic number.

2758991312000 is a gapful number since it is divisible by the number (20) 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 2758991312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462040494080).

2758991312000 is an abundant number, since it is smaller than the sum of its proper divisors (6165089676160).

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

2758991312000 is a wasteful number, since it uses less digits than its factorization.

2758991312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97437 (or 97415 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 2758991312000 in words is "two trillion, seven hundred fifty-eight billion, nine hundred ninety-one million, three hundred twelve thousand".