2151021969024 has 128 divisors (see below), whose sum is σ = 5888064631680. Its totient is φ = 695329751040.

The previous prime is 2151021969023. The next prime is 2151021969113. The reversal of 2151021969024 is 4209691201512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2151021969024³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2151021969023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220192 + ... + 3038304.

It is an arithmetic number, because the mean of its divisors is an integer number (46000504935).

Almost surely, 2^{2151021969024} is an apocalyptic number.

2151021969024 is a gapful number since it is divisible by the number (24) 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 2151021969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944032315840).

2151021969024 is an abundant number, since it is smaller than the sum of its proper divisors (3737042662656).

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

2151021969024 is a wasteful number, since it uses less digits than its factorization.

2151021969024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818338 (or 818326 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 2151021969024 in words is "two trillion, one hundred fifty-one billion, twenty-one million, nine hundred sixty-nine thousand, twenty-four".