2514325440 has 112 divisors (see below), whose sum is σ = 8708745600. Its totient is φ = 609530880.

The previous prime is 2514325439. The next prime is 2514325493. The reversal of 2514325440 is 445234152.

It is a super-4 number, since 4×2514325440⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2514325398 and 2514325407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108490 + ... + 129609.

Almost surely, 2^2514325440 is an apocalyptic number.

2514325440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2514325440 is an abundant number, since it is smaller than the sum of its proper divisors (6194420160).

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

2514325440 is a wasteful number, since it uses less digits than its factorization.

2514325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238130 (or 238120 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2514325440 is about 50143.0497676398. The cubic root of 2514325440 is about 1359.7962209095.

Adding to 2514325440 its reverse (445234152), we get a palindrome (2959559592).

The spelling of 2514325440 in words is "two billion, five hundred fourteen million, three hundred twenty-five thousand, four hundred forty".