2151651840 has 320 divisors, whose sum is σ = 7738004736. Its totient is φ = 506068992.

The previous prime is 2151651809. The next prime is 2151651851. The reversal of 2151651840 is 481561512.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295852 + ... + 2296788.

Almost surely, 2^2151651840 is an apocalyptic number.

2151651840 is a gapful number since it is divisible by the number (20) 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 2151651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869002368).

2151651840 is an abundant number, since it is smaller than the sum of its proper divisors (5586352896).

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

2151651840 is a wasteful number, since it uses less digits than its factorization.

2151651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 2151651840 is about 46385.9013063237. The cubic root of 2151651840 is about 1290.9933338229.

The spelling of 2151651840 in words is "two billion, one hundred fifty-one million, six hundred fifty-one thousand, eight hundred forty".