2119978967040 has 2016 divisors, whose sum is σ = 8963437601664. Its totient is φ = 476483420160.

The previous prime is 2119978967039. The next prime is 2119978967053. The reversal of 2119978967040 is 407698799112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31641477087 + ... + 31641477153.

It is an arithmetic number, because the mean of its divisors is an integer number (4446149604).

Almost surely, 2^{2119978967040} is an apocalyptic number.

2119978967040 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 2119978967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481718800832).

2119978967040 is an abundant number, since it is smaller than the sum of its proper divisors (6843458634624).

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

2119978967040 is an equidigital number, since it uses as much as digits as its factorization.

2119978967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

It can be divided in two parts, 211997896 and 7040, that added together give a triangular number (212004936 = T₂₀₅₉₁).

The spelling of 2119978967040 in words is "two trillion, one hundred nineteen billion, nine hundred seventy-eight million, nine hundred sixty-seven thousand, forty".