2977648128 has 480 divisors, whose sum is σ = 11010295296. Its totient is φ = 782327808.

The previous prime is 2977648127. The next prime is 2977648129. The reversal of 2977648128 is 8218467792.

It is a happy number.

2977648128 is a `hidden beast` number, since 2 + 97 + 76 + 481 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2977648127) and next prime (2977648129).

It is a super-3 number, since 3×2977648128³ (a number of 29 digits) contains 333 as substring.

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

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

Its product of digits (2709504) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977648127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321725 + ... + 11321987.

Almost surely, 2^2977648128 is an apocalyptic number.

2977648128 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 2977648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505147648).

2977648128 is an abundant number, since it is smaller than the sum of its proper divisors (8032647168).

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

2977648128 is an equidigital number, since it uses as much as digits as its factorization.

2977648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2977648128 is about 54567.8305231205. The cubic root of 2977648128 is about 1438.6587511180.

The spelling of 2977648128 in words is "two billion, nine hundred seventy-seven million, six hundred forty-eight thousand, one hundred twenty-eight".