2249029874520 has 960 divisors, whose sum is σ = 9020431110240. Its totient is φ = 498161664000.

The previous prime is 2249029874471. The next prime is 2249029874537. The reversal of 2249029874520 is 254789209422.

2249029874520 is a `hidden beast` number, since 2 + 2 + 4 + 90 + 29 + 8 + 7 + 4 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 608337312 + ... + 608341008.

Almost surely, 2^{2249029874520} is an apocalyptic number.

2249029874520 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 2249029874520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510215555120).

2249029874520 is an abundant number, since it is smaller than the sum of its proper divisors (6771401235720).

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

2249029874520 is a wasteful number, since it uses less digits than its factorization.

2249029874520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2249029874520 in words is "two trillion, two hundred forty-nine billion, twenty-nine million, eight hundred seventy-four thousand, five hundred twenty".