2449977252240 has 120 divisors (see below), whose sum is σ = 8834918011200. Its totient is φ = 559994797824.

The previous prime is 2449977252221. The next prime is 2449977252241. The reversal of 2449977252240 is 422527799442.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2449977252241) 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 23 ways as a sum of consecutive naturals, for example, 104153940 + ... + 104177459.

It is an arithmetic number, because the mean of its divisors is an integer number (73624316760).

Almost surely, 2^{2449977252240} is an apocalyptic number.

2449977252240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2449977252240 is an abundant number, since it is smaller than the sum of its proper divisors (6384940758960).

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

2449977252240 is a wasteful number, since it uses less digits than its factorization.

2449977252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208331429 (or 208331416 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 2449977252240 in words is "two trillion, four hundred forty-nine billion, nine hundred seventy-seven million, two hundred fifty-two thousand, two hundred forty".