2997558144 has 384 divisors, whose sum is σ = 10641945600. Its totient is φ = 827366400.

The previous prime is 2997558073. The next prime is 2997558209. The reversal of 2997558144 is 4418557992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249379 + ... + 5249949.

It is an arithmetic number, because the mean of its divisors is an integer number (27713400).

Almost surely, 2^2997558144 is an apocalyptic number.

2997558144 is a gapful number since it is divisible by the number (24) 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 2997558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320972800).

2997558144 is an abundant number, since it is smaller than the sum of its proper divisors (7644387456).

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

2997558144 is a wasteful number, since it uses less digits than its factorization.

2997558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 614 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 2997558144 is about 54749.9602191636. The cubic root of 2997558144 is about 1441.8581567835.

It can be divided in two parts, 29975581 and 44, that added together give a square (29975625 = 5475²).

The spelling of 2997558144 in words is "two billion, nine hundred ninety-seven million, five hundred fifty-eight thousand, one hundred forty-four".