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2378707968 = 210371367127
BaseRepresentation
bin1000110111001000…
…0011010000000000
320010202221212220010
42031302003100000
514332422123333
61032011544520
7112642453440
oct21562032000
96122855803
102378707968
11101079a55a
1256475b140
132bba72410
14187cba120
15ddc6c563
hex8dc83400

2378707968 has 352 divisors, whose sum is σ = 7982055424. Its totient is φ = 613122048.

The previous prime is 2378707957. The next prime is 2378707979. The reversal of 2378707968 is 8697078732.

It is an interprime number because it is at equal distance from previous prime (2378707957) and next prime (2378707979).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18729921 + ... + 18730047.

Almost surely, 22378707968 is an apocalyptic number.

2378707968 is a gapful number since it is divisible by the number (28) 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 2378707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991027712).

2378707968 is an abundant number, since it is smaller than the sum of its proper divisors (5603347456).

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

2378707968 is a wasteful number, since it uses less digits than its factorization.

2378707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The square root of 2378707968 is about 48771.9998359715. Note that the first 3 decimals coincide. The cubic root of 2378707968 is about 1334.8948035332.

The spelling of 2378707968 in words is "two billion, three hundred seventy-eight million, seven hundred seven thousand, nine hundred sixty-eight".