2153951829 has 48 divisors (see below), whose sum is σ = 3309958080. Its totient is φ = 1347413760.

The previous prime is 2153951819. The next prime is 2153951831. The reversal of 2153951829 is 9281593512.

It is not a de Polignac number, because 2153951829 - 2¹⁹ = 2153427541 is a prime.

It is a super-3 number, since 3×2153951829³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153951819) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153322 + ... + 3154004.

It is an arithmetic number, because the mean of its divisors is an integer number (68957460).

Almost surely, 2^2153951829 is an apocalyptic number.

2153951829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2153951829 is a deficient number, since it is larger than the sum of its proper divisors (1156006251).

2153951829 is a wasteful number, since it uses less digits than its factorization.

2153951829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 2153951829 is about 46410.6865818639. The cubic root of 2153951829 is about 1291.4531686109.

The spelling of 2153951829 in words is "two billion, one hundred fifty-three million, nine hundred fifty-one thousand, eight hundred twenty-nine".