2451540 has 96 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 516096.

The previous prime is 2451539. The next prime is 2451541. The reversal of 2451540 is 451542.

It is an interprime number because it is at equal distance from previous prime (2451539) and next prime (2451541).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5236 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

2^2451540 is an apocalyptic number.

2451540 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 2451540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

2451540 is an abundant number, since it is smaller than the sum of its proper divisors (6015660).

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

2451540 is a wasteful number, since it uses less digits than its factorization.

2451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2451540 is about 1565.7394419251. The cubic root of 2451540 is about 134.8382149722.

The spelling of 2451540 in words is "two million, four hundred fifty-one thousand, five hundred forty".