2674681233120 has 576 divisors, whose sum is σ = 10354403404800. Its totient is φ = 623272734720.

The previous prime is 2674681233113. The next prime is 2674681233127. The reversal of 2674681233120 is 213321864762.

2674681233120 is a `hidden beast` number, since 2 + 67 + 468 + 1 + 2 + 3 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2674681233113) and next prime (2674681233127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674681233127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857542921 + ... + 857546039.

It is an arithmetic number, because the mean of its divisors is an integer number (17976394800).

Almost surely, 2^{2674681233120} is an apocalyptic number.

2674681233120 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 2674681233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177201702400).

2674681233120 is an abundant number, since it is smaller than the sum of its proper divisors (7679722171680).

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

2674681233120 is a wasteful number, since it uses less digits than its factorization.

2674681233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5583 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2674681233120 in words is "two trillion, six hundred seventy-four billion, six hundred eighty-one million, two hundred thirty-three thousand, one hundred twenty".