2249963654400 has 4320 divisors, whose sum is σ = 11500870147200. Its totient is φ = 424850227200.

The previous prime is 2249963654333. The next prime is 2249963654437. The reversal of 2249963654400 is 44563699422.

2249963654400 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 96 + 3 + 6 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×2249963654400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77584953586 + ... + 77584953614.

It is an arithmetic number, because the mean of its divisors is an integer number (2662238460).

Almost surely, 2^{2249963654400} is an apocalyptic number.

2249963654400 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 2249963654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750435073600).

2249963654400 is an abundant number, since it is smaller than the sum of its proper divisors (9250906492800).

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

2249963654400 is a wasteful number, since it uses less digits than its factorization.

2249963654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2249963654400 in words is "two trillion, two hundred forty-nine billion, nine hundred sixty-three million, six hundred fifty-four thousand, four hundred".