2749114899720 has 2304 divisors, whose sum is σ = 12213169113600. Its totient is φ = 541776936960.

The previous prime is 2749114899709. The next prime is 2749114899731. The reversal of 2749114899720 is 279984119472.

2749114899720 is a `hidden beast` number, since 2 + 7 + 49 + 1 + 1 + 489 + 97 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2749114899709) and next prime (2749114899731).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24328450384 + ... + 24328450496.

It is an arithmetic number, because the mean of its divisors is an integer number (5300854650).

Almost surely, 2^{2749114899720} is an apocalyptic number.

2749114899720 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 2749114899720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106584556800).

2749114899720 is an abundant number, since it is smaller than the sum of its proper divisors (9464054213880).

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

2749114899720 is a wasteful number, since it uses less digits than its factorization.

2749114899720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 2749114899720 in words is "two trillion, seven hundred forty-nine billion, one hundred fourteen million, eight hundred ninety-nine thousand, seven hundred twenty".