2674692420480 has 640 divisors, whose sum is σ = 9959697792000. Its totient is φ = 683185176576.

The previous prime is 2674692420479. The next prime is 2674692420481. The reversal of 2674692420480 is 840242964762.

It is a happy number.

2674692420480 is a `hidden beast` number, since 2 + 6 + 74 + 6 + 92 + 4 + 2 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2674692420479) and next prime (2674692420481).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2674692420480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674692420481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190919716 + ... + 190933724.

It is an arithmetic number, because the mean of its divisors is an integer number (15562027800).

Almost surely, 2^{2674692420480} is an apocalyptic number.

2674692420480 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 2674692420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979848896000).

2674692420480 is an abundant number, since it is smaller than the sum of its proper divisors (7285005371520).

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

2674692420480 is a wasteful number, since it uses less digits than its factorization.

2674692420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2674692420480 in words is "two trillion, six hundred seventy-four billion, six hundred ninety-two million, four hundred twenty thousand, four hundred eighty".