2111249102940 has 480 divisors, whose sum is σ = 6799895536896. Its totient is φ = 548227491840.

The previous prime is 2111249102867. The next prime is 2111249103037. The reversal of 2111249102940 is 492019421112.

2111249102940 is a `hidden beast` number, since 2 + 111 + 249 + 10 + 294 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2111249102895 and 2111249102904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4299896095 + ... + 4299896585.

Almost surely, 2^{2111249102940} is an apocalyptic number.

2111249102940 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 2111249102940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399947768448).

2111249102940 is an abundant number, since it is smaller than the sum of its proper divisors (4688646433956).

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

2111249102940 is a wasteful number, since it uses less digits than its factorization.

2111249102940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2111249102940 in words is "two trillion, one hundred eleven billion, two hundred forty-nine million, one hundred two thousand, nine hundred forty".