2135483600 has 60 divisors (see below), whose sum is σ = 5200851276. Its totient is φ = 842480640.

The previous prime is 2135483557. The next prime is 2135483617. The reversal of 2135483600 is 63845312.

2135483600 = T₄ + T₅ + ... + T₂₃₃₉.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 2132961856 = 1588^2 + 46184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7367 + ... + 65766.

Almost surely, 2^2135483600 is an apocalyptic number.

2135483600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135483600 is an abundant number, since it is smaller than the sum of its proper divisors (3065367676).

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

2135483600 is a wasteful number, since it uses less digits than its factorization.

2135483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73224 (or 73213 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2135483600 is about 46211.2929920815. The cubic root of 2135483600 is about 1287.7515466655.

The spelling of 2135483600 in words is "two billion, one hundred thirty-five million, four hundred eighty-three thousand, six hundred".