2737664049120 has 2304 divisors, whose sum is σ = 12309208934400. Its totient is φ = 508167475200.

The previous prime is 2737664049103. The next prime is 2737664049137. The reversal of 2737664049120 is 219404667372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2737664049103) and next prime (2737664049137).

It is a super-2 number, since 2×2737664049120² (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 383 ways as a sum of consecutive naturals, for example, 88311743505 + ... + 88311743535.

It is an arithmetic number, because the mean of its divisors is an integer number (5342538600).

Almost surely, 2^{2737664049120} is an apocalyptic number.

2737664049120 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 2737664049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154604467200).

2737664049120 is an abundant number, since it is smaller than the sum of its proper divisors (9571544885280).

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

2737664049120 is a wasteful number, since it uses less digits than its factorization.

2737664049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 2737664049120 in words is "two trillion, seven hundred thirty-seven billion, six hundred sixty-four million, forty-nine thousand, one hundred twenty".