2100269952 has 256 divisors, whose sum is σ = 6841670400. Its totient is φ = 628992000.

The previous prime is 2100269923. The next prime is 2100269959. The reversal of 2100269952 is 2599620012.

It is a happy number.

It is a super-2 number, since 2×2100269952² = 8822267742548164608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100269959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839343 + ... + 3839889.

It is an arithmetic number, because the mean of its divisors is an integer number (26725275).

Almost surely, 2^2100269952 is an apocalyptic number.

2100269952 is a gapful number since it is divisible by the number (22) 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 2100269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420835200).

2100269952 is an abundant number, since it is smaller than the sum of its proper divisors (4741400448).

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

2100269952 is a wasteful number, since it uses less digits than its factorization.

2100269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2100269952 is about 45828.7022727024. The cubic root of 2100269952 is about 1280.6340348438.

Adding to 2100269952 its reverse (2599620012), we get a palindrome (4699889964).

The spelling of 2100269952 in words is "two billion, one hundred million, two hundred sixty-nine thousand, nine hundred fifty-two".