2451144540 has 48 divisors (see below), whose sum is σ = 7391145888. Its totient is φ = 603358464.

The previous prime is 2451144497. The next prime is 2451144547. The reversal of 2451144540 is 454411542.

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 = 2451144498 and 2451144507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451144547) by changing a digit.

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, 1570467 + ... + 1572026.

It is an arithmetic number, because the mean of its divisors is an integer number (153982206).

Almost surely, 2^2451144540 is an apocalyptic number.

2451144540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451144540 is an abundant number, since it is smaller than the sum of its proper divisors (4940001348).

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

2451144540 is a wasteful number, since it uses less digits than its factorization.

2451144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142518 (or 3142516 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2451144540 is about 49509.0349330302. The cubic root of 2451144540 is about 1348.3096429331.

The spelling of 2451144540 in words is "two billion, four hundred fifty-one million, one hundred forty-four thousand, five hundred forty".