1953829340 has 24 divisors (see below), whose sum is σ = 4104214800. Its totient is φ = 781308288.

The previous prime is 1953829291. The next prime is 1953829357. The reversal of 1953829340 is 439283591.

It is a junction number, because it is equal to n+sod(n) for n = 1953829291 and 1953829300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70064 + ... + 93896.

It is an arithmetic number, because the mean of its divisors is an integer number (171008950).

Almost surely, 2^1953829340 is an apocalyptic number.

1953829340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1953829340 is an abundant number, since it is smaller than the sum of its proper divisors (2150385460).

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

1953829340 is a wasteful number, since it uses less digits than its factorization.

1953829340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27941 (or 27939 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 1953829340 is about 44202.1418033108. The cubic root of 1953829340 is about 1250.1502411414.

The spelling of 1953829340 in words is "one billion, nine hundred fifty-three million, eight hundred twenty-nine thousand, three hundred forty".