2151520 has 96 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 688128.

The previous prime is 2151517. The next prime is 2151521. The reversal of 2151520 is 251512.

2151520 = 71² + 72² + ... + 189².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2151494 and 2151503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18984 + ... + 19096.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

2^2151520 is an apocalyptic number.

2151520 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 2151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2151520 is an abundant number, since it is smaller than the sum of its proper divisors (4053728).

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

2151520 is a wasteful number, since it uses less digits than its factorization.

2151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2151520 is about 1466.8060539826. The cubic root of 2151520 is about 129.0966965239.

The spelling of 2151520 in words is "two million, one hundred fifty-one thousand, five hundred twenty".