2978100312 has 128 divisors (see below), whose sum is σ = 8438169600. Its totient is φ = 867715200.

The previous prime is 2978100287. The next prime is 2978100317. The reversal of 2978100312 is 2130018792.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978100317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365639 + ... + 1367817.

It is an arithmetic number, because the mean of its divisors is an integer number (65923200).

Almost surely, 2^2978100312 is an apocalyptic number.

2978100312 is a gapful number since it is divisible by the number (22) 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 2978100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219084800).

2978100312 is an abundant number, since it is smaller than the sum of its proper divisors (5460069288).

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

2978100312 is a wasteful number, since it uses less digits than its factorization.

2978100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2978100312 is about 54571.9736861331. The cubic root of 2978100312 is about 1438.7315720731.

Subtracting from 2978100312 its reverse (2130018792), we obtain a triangular number (848081520 = T₄₁₁₈₄).

The spelling of 2978100312 in words is "two billion, nine hundred seventy-eight million, one hundred thousand, three hundred twelve".