2449964400 has 120 divisors (see below), whose sum is σ = 8451802800. Its totient is φ = 603064320.

The previous prime is 2449964381. The next prime is 2449964417. The reversal of 2449964400 is 44699442.

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

It is a super-2 number, since 2×2449964400² = 12004651122534720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62925 + ... + 94124.

It is an arithmetic number, because the mean of its divisors is an integer number (70431690).

Almost surely, 2^2449964400 is an apocalyptic number.

2449964400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2449964400 is an abundant number, since it is smaller than the sum of its proper divisors (6001838400).

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

2449964400 is a wasteful number, since it uses less digits than its factorization.

2449964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157083 (or 157072 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2449964400 is about 49497.1150674461. The cubic root of 2449964400 is about 1348.0932202847.

The spelling of 2449964400 in words is "two billion, four hundred forty-nine million, nine hundred sixty-four thousand, four hundred".