2122745940 has 216 divisors, whose sum is σ = 7644803712. Its totient is φ = 484989120.

The previous prime is 2122745939. The next prime is 2122745941. The reversal of 2122745940 is 495472212.

It is an interprime number because it is at equal distance from previous prime (2122745939) and next prime (2122745941).

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 = 2122745895 and 2122745904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122745941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917385 + ... + 919695.

Almost surely, 2^2122745940 is an apocalyptic number.

2122745940 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 2122745940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822401856).

2122745940 is an abundant number, since it is smaller than the sum of its proper divisors (5522057772).

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

2122745940 is an equidigital number, since it uses as much as digits as its factorization.

2122745940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2122745940 is about 46073.2670862399. The cubic root of 2122745940 is about 1285.1860601553.

The spelling of 2122745940 in words is "two billion, one hundred twenty-two million, seven hundred forty-five thousand, nine hundred forty".