2151514440 has 256 divisors, whose sum is σ = 7354368000. Its totient is φ = 559353600.

The previous prime is 2151514429. The next prime is 2151514447. The reversal of 2151514440 is 444151512.

2151514440 is a `hidden beast` number, since 2 + 1 + 515 + 144 + 4 + 0 = 666.

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 (2151514447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12883237 + ... + 12883403.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^2151514440 is an apocalyptic number.

2151514440 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 2151514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2151514440 is an abundant number, since it is smaller than the sum of its proper divisors (5202853560).

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

2151514440 is a wasteful number, since it uses less digits than its factorization.

2151514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2151514440 is about 46384.4202292106. The cubic root of 2151514440 is about 1290.9658531905.

Adding to 2151514440 its reverse (444151512), we get a palindrome (2595665952).

The spelling of 2151514440 in words is "two billion, one hundred fifty-one million, five hundred fourteen thousand, four hundred forty".