2549334733920 has 576 divisors, whose sum is σ = 10029272408064. Its totient is φ = 607281960960.

The previous prime is 2549334733903. The next prime is 2549334733969. The reversal of 2549334733920 is 293374339452.

2549334733920 is a `hidden beast` number, since 2 + 5 + 493 + 34 + 7 + 33 + 92 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15587289 + ... + 15749991.

It is an arithmetic number, because the mean of its divisors is an integer number (17411931264).

Almost surely, 2^{2549334733920} is an apocalyptic number.

2549334733920 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 2549334733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014636204032).

2549334733920 is an abundant number, since it is smaller than the sum of its proper divisors (7479937674144).

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

2549334733920 is a wasteful number, since it uses less digits than its factorization.

2549334733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162777 (or 162757 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 2549334733920 in words is "two trillion, five hundred forty-nine billion, three hundred thirty-four million, seven hundred thirty-three thousand, nine hundred twenty".