2102149940 has 72 divisors (see below), whose sum is σ = 4934895840. Its totient is φ = 751410880.

The previous prime is 2102149921. The next prime is 2102149957. The reversal of 2102149940 is 499412012.

It is a junction number, because it is equal to n+sod(n) for n = 2102149897 and 2102149906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135419 + ... + 150141.

It is an arithmetic number, because the mean of its divisors is an integer number (68540220).

Almost surely, 2^2102149940 is an apocalyptic number.

2102149940 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 2102149940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467447920).

2102149940 is an abundant number, since it is smaller than the sum of its proper divisors (2832745900).

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

2102149940 is a wasteful number, since it uses less digits than its factorization.

2102149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14813 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2102149940 is about 45849.2087172723. The cubic root of 2102149940 is about 1281.0160267902.

The spelling of 2102149940 in words is "two billion, one hundred two million, one hundred forty-nine thousand, nine hundred forty".