2135101248 has 224 divisors, whose sum is σ = 7217664000. Its totient is φ = 606279168.

The previous prime is 2135101229. The next prime is 2135101301. The reversal of 2135101248 is 8421015312.

2135101248 is a `hidden beast` number, since 21 + 3 + 510 + 124 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2135101248² = 9117314678422315008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406661 + ... + 2407547.

Almost surely, 2^2135101248 is an apocalyptic number.

2135101248 is a gapful number since it is divisible by the number (28) 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 2135101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608832000).

2135101248 is an abundant number, since it is smaller than the sum of its proper divisors (5082562752).

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

2135101248 is a wasteful number, since it uses less digits than its factorization.

2135101248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2135101248 is about 46207.1558094631. The cubic root of 2135101248 is about 1287.6746860474.

The spelling of 2135101248 in words is "two billion, one hundred thirty-five million, one hundred one thousand, two hundred forty-eight".