2451120 has 80 divisors (see below), whose sum is σ = 8689920. Its totient is φ = 559872.

The previous prime is 2451101. The next prime is 2451143. The reversal of 2451120 is 211542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2451120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (108624).

2^2451120 is an apocalyptic number.

2451120 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 2451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344960).

2451120 is an abundant number, since it is smaller than the sum of its proper divisors (6238800).

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

2451120 is a wasteful number, since it uses less digits than its factorization.

2451120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2451120 is about 1565.6053142475. The cubic root of 2451120 is about 134.8305143317.

Adding to 2451120 its reverse (211542), we get a palindrome (2662662).

It can be divided in two parts, 24511 and 20, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 2451120 in words is "two million, four hundred fifty-one thousand, one hundred twenty".