2151303840 has 288 divisors, whose sum is σ = 8759741760. Its totient is φ = 491678208.

The previous prime is 2151303797. The next prime is 2151303841. The reversal of 2151303840 is 483031512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2151303841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206599 + ... + 216761.

It is an arithmetic number, because the mean of its divisors is an integer number (30415770).

Almost surely, 2^2151303840 is an apocalyptic number.

2151303840 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 2151303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).

2151303840 is an abundant number, since it is smaller than the sum of its proper divisors (6608437920).

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

2151303840 is a wasteful number, since it uses less digits than its factorization.

2151303840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2151303840 is about 46382.1500148495. The cubic root of 2151303840 is about 1290.9237299501.

The spelling of 2151303840 in words is "two billion, one hundred fifty-one million, three hundred three thousand, eight hundred forty".