2977338000 has 960 divisors, whose sum is σ = 12966670080. Its totient is φ = 580608000.

The previous prime is 2977337989. The next prime is 2977338011. The reversal of 2977338000 is 8337792.

It is an interprime number because it is at equal distance from previous prime (2977337989) and next prime (2977338011).

It is a super-3 number, since 3×2977338000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2977338000.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72617980 + ... + 72618020.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^2977338000 is an apocalyptic number.

2977338000 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 2977338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

2977338000 is an abundant number, since it is smaller than the sum of its proper divisors (9989332080).

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

2977338000 is a wasteful number, since it uses less digits than its factorization.

2977338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2977338000 is about 54564.9887748545. The cubic root of 2977338000 is about 1438.6088029898.

The spelling of 2977338000 in words is "two billion, nine hundred seventy-seven million, three hundred thirty-eight thousand".