2835978373920 has 768 divisors, whose sum is σ = 9935493765120. Its totient is φ = 677221171200.

The previous prime is 2835978373841. The next prime is 2835978373951. The reversal of 2835978373920 is 293738795382.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3496890315 + ... + 3496891125.

It is an arithmetic number, because the mean of its divisors is an integer number (12936840840).

Almost surely, 2^{2835978373920} is an apocalyptic number.

2835978373920 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 2835978373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967746882560).

2835978373920 is an abundant number, since it is smaller than the sum of its proper divisors (7099515391200).

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

2835978373920 is a wasteful number, since it uses less digits than its factorization.

2835978373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 2835978373920 in words is "two trillion, eight hundred thirty-five billion, nine hundred seventy-eight million, three hundred seventy-three thousand, nine hundred twenty".