2860938952704 has 552 divisors, whose sum is σ = 9819904680768. Its totient is φ = 815372697600.

The previous prime is 2860938952649. The next prime is 2860938952741. The reversal of 2860938952704 is 4072598390682.

2860938952704 is a `hidden beast` number, since 28 + 6 + 0 + 9 + 3 + 89 + 527 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7134510904 + ... + 7134511304.

Almost surely, 2^{2860938952704} is an apocalyptic number.

2860938952704 is a gapful number since it is divisible by the number (24) 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 2860938952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909952340384).

2860938952704 is an abundant number, since it is smaller than the sum of its proper divisors (6958965728064).

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

2860938952704 is an frugal number, since it uses more digits than its factorization.

2860938952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2860938952704 in words is "two trillion, eight hundred sixty billion, nine hundred thirty-eight million, nine hundred fifty-two thousand, seven hundred four".