2870780640 has 576 divisors, whose sum is σ = 11655524160. Its totient is φ = 588349440.

The previous prime is 2870780629. The next prime is 2870780659. The reversal of 2870780640 is 460870782.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2870780592 and 2870780601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12536046 + ... + 12536274.

It is an arithmetic number, because the mean of its divisors is an integer number (20235285).

Almost surely, 2^2870780640 is an apocalyptic number.

2870780640 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 2870780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827762080).

2870780640 is an abundant number, since it is smaller than the sum of its proper divisors (8784743520).

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

2870780640 is a wasteful number, since it uses less digits than its factorization.

2870780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2870780640 is about 53579.6662923539. Note that the first 3 decimals coincide. The cubic root of 2870780640 is about 1421.2375378422.

The spelling of 2870780640 in words is "two billion, eight hundred seventy million, seven hundred eighty thousand, six hundred forty".