2895867200380 has 432 divisors, whose sum is σ = 8091099168768. Its totient is φ = 866473977600.

The previous prime is 2895867200357. The next prime is 2895867200383. The reversal of 2895867200380 is 830027685982.

2895867200380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2895867200383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 466846359 + ... + 466852561.

It is an arithmetic number, because the mean of its divisors is an integer number (18729396224).

Almost surely, 2^{2895867200380} is an apocalyptic number.

2895867200380 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 2895867200380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045549584384).

2895867200380 is an abundant number, since it is smaller than the sum of its proper divisors (5195231968388).

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

2895867200380 is a wasteful number, since it uses less digits than its factorization.

2895867200380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 2895867200380 in words is "two trillion, eight hundred ninety-five billion, eight hundred sixty-seven million, two hundred thousand, three hundred eighty".