2249689917748 has 288 divisors, whose sum is σ = 5339035296000. Its totient is φ = 804857057280.

The previous prime is 2249689917647. The next prime is 2249689917767. The reversal of 2249689917748 is 8477199869422.

It is a super-2 number, since 2×2249689917748² (a number of 26 digits) 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 95 ways as a sum of consecutive naturals, for example, 886052263 + ... + 886054801.

It is an arithmetic number, because the mean of its divisors is an integer number (18538317000).

Almost surely, 2^{2249689917748} is an apocalyptic number.

2249689917748 is a gapful number since it is divisible by the number (28) 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 2249689917748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669517648000).

2249689917748 is an abundant number, since it is smaller than the sum of its proper divisors (3089345378252).

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

2249689917748 is a wasteful number, since it uses less digits than its factorization.

2249689917748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2758 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 76.

The spelling of 2249689917748 in words is "two trillion, two hundred forty-nine billion, six hundred eighty-nine million, nine hundred seventeen thousand, seven hundred forty-eight".