2673613488 has 320 divisors, whose sum is σ = 8891430912. Its totient is φ = 673505280.

The previous prime is 2673613487. The next prime is 2673613517. The reversal of 2673613488 is 8843163762.

2673613488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2673613488² = 14296418166431052288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2673613483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11474620 + ... + 11474852.

Almost surely, 2^2673613488 is an apocalyptic number.

2673613488 is a gapful number since it is divisible by the number (28) 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 2673613488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2673613488 is an abundant number, since it is smaller than the sum of its proper divisors (6217817424).

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

2673613488 is a wasteful number, since it uses less digits than its factorization.

2673613488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2673613488 is about 51706.9965091766. The cubic root of 2673613488 is about 1387.9256687958.

The spelling of 2673613488 in words is "two billion, six hundred seventy-three million, six hundred thirteen thousand, four hundred eighty-eight".