2109977016000 has 896 divisors, whose sum is σ = 8165673345024. Its totient is φ = 470060236800.

The previous prime is 2109977015989. The next prime is 2109977016029. The reversal of 2109977016000 is 6107799012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2787287622 + ... + 2787288378.

Almost surely, 2^{2109977016000} is an apocalyptic number.

2109977016000 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 2109977016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082836672512).

2109977016000 is an abundant number, since it is smaller than the sum of its proper divisors (6055696329024).

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

2109977016000 is a wasteful number, since it uses less digits than its factorization.

2109977016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 2109977016000 in words is "two trillion, one hundred nine billion, nine hundred seventy-seven million, sixteen thousand".